Relevant bibliographies by topics / Integral operators

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Integral operators'

Author: Grafiati
Published: 4 June 2021
Last updated: 30 July 2024

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Journal articles on the topic "Integral operators"

1

Tariq, Muhammad, Sotiris K. Ntouyas, Hijaz Ahmad, Asif Ali Shaikh, Bandar Almohsen, and Evren Hincal. "A comprehensive review of Grüss-type fractional integral inequality." AIMS Mathematics 9, no. 1 (2023): 2244–81. http://dx.doi.org/10.3934/math.2024112.

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<abstract><p>A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville fractional integrals of a function with respect to another function, Katugampola fractional integral operators, Hadamard's fractional integral operators, $ k $-fractional integral operators, Raina's fractional integral operators, tempered fractional integral operators, conformable fractional integrals operators, proportional fractional integrals operators, generalized Riemann-Liouville fractional integral operators, Caputo-Fabrizio fractional integrals operators, Saigo fractional integral operators, quantum integral operators, and Hilfer fractional differential operators.</p></abstract>
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Girardi, Maria, and Lutz Weis. "Integral operators with operator-valued kernels." Journal of Mathematical Analysis and Applications 290, no. 1 (February 2004): 190–212. http://dx.doi.org/10.1016/j.jmaa.2003.09.044.

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Jefferies, Brian, and Susumu Okada. "Pettis integrals and singular integral operators." Illinois Journal of Mathematics 38, no. 2 (June 1994): 250–72. http://dx.doi.org/10.1215/ijm/1255986799.

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Shahmurov, Rishad. "On Integral Operators with Operator-Valued Kernels." Journal of Inequalities and Applications 2010, no. 1 (2010): 850125. http://dx.doi.org/10.1155/2010/850125.

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Garetto, Claudia, Günther Hörmann, and Michael Oberguggenberger. "Generalized oscillatory integrals and Fourier integral operators." Proceedings of the Edinburgh Mathematical Society 52, no. 2 (May 28, 2009): 351–86. http://dx.doi.org/10.1017/s0013091506000915.

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AbstractIn this paper, a theory is developed of generalized oscillatory integrals (OIs) whose phase functions and amplitudes may be generalized functions of Colombeau type. Based on this, generalized Fourier integral operators (FIOs) acting on Colombeau algebras are defined. This is motivated by the need for a general framework for partial differential operators with non-smooth coefficients and distribution dataffi The mapping properties of these FIOs are studied, as is microlocal Colombeau regularity for OIs and the influence of the FIO action on generalized wavefront sets.
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Korotkov, V. B. "Properties of integrals and partially integral operators." Siberian Mathematical Journal 33, no. 1 (1992): 166–68. http://dx.doi.org/10.1007/bf00972952.

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Butt, S. I., B. Bayraktar, and M. Umar. "SEVERAL NEW INTEGRAL INEQUALITIES VIA 𝐾-RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS OPERATORS." Issues of Analysis 28, no. 1 (February 2021): 3–22. http://dx.doi.org/10.15393/j3.art.2021.8770.

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Vinogradov, S. A. "Continuity of perturbations of integral operators, Cauchy-type integrals, maximal operators." Journal of Soviet Mathematics 34, no. 6 (September 1986): 2033–39. http://dx.doi.org/10.1007/bf01741577.

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Owa, Shigeyoshi. "Certain integral operators." Proceedings of the Japan Academy, Series A, Mathematical Sciences 67, no. 3 (1991): 88–93. http://dx.doi.org/10.3792/pjaa.67.88.

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Carbery, A. "SINGULAR INTEGRAL OPERATORS." Bulletin of the London Mathematical Society 20, no. 4 (July 1988): 373–75. http://dx.doi.org/10.1112/blms/20.4.373.

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Dissertations / Theses on the topic "Integral operators"

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Chunaev, Petr. "Singular integral operators and rectifiability." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/663827.

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Los problemas que estudiamos en esta tesis se encuentran en el área de Análisis Armónico y Teoría de la Medida Geométrica. En particular, consideramos la conexión entre las propiedades analíticas de operadores integrales singulares definidos en $L^2(\mu)$ y asociados con algunos núcleos de Calderón-Zygmund y las propiedades geométricas de la medida $\mu$. Seamos más precisos. Sea $E$ un conjunto de Borel en el plano complejo con la medida lineal de Hausdorff $H^1$ finita y distinta de cero, es decir, $00$ es una pequeña constante absoluta. Es importante que, para algunos de los $t$ que acabamos de mencionar, el llamado método de curvatura comúnmente utilizado para relacionar $L^2$-acotación y rectificabilidad no está disponible, pero todavía es posible establecer la propiedad mencionada. Hasta donde sabemos, es el primer ejemplo de este tipo en el plano complejo. También vale la pena mencionar que ampliamos nuestros resultados a una clase aún más general de núcleos y, además, consideramos problemas análogos para conjuntos $E$ Ahlfors-David-regulares.
The problems that we study in this thesis lie in the area of Harmonic Analysis and Geometric Measure Theory. Namely, we consider the connection between the analytic properties of singular integral operators defined in $L^2(\mu)$ and associated with some Calderón-Zygmund kernels and the geometric properties of the measure $\mu$. Let us be more precise. Let $E$ be a Borel set in the complex plane with non-vanishing and finite linear Hausdorff measure $H^1$, i.e. such that $00$ is a small absolute constant. It is important that for some of the $t$ just mentioned the so called curvature method commonly used to relate $L^2$-boundedness and rectifiability is not available but it is still possible to establish the above-mentioned property. To the best of our knowledge, it is the first example of this type in the plane. It is also worth mentioning that we extend our results to even more general class of kernels and additionally consider analogous problems for Ahlfors-David regular sets $E$.
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Vaktnäs, Marcus. "On Singular Integral Operators." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-355872.

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Beil, Joel S. "Geometric Properties of Orbits of Integral Operators." Kent State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=kent1270503593.

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Khan, Mumtaz Ahmad. "On fractional integral operators of three variables and integral transforms." Pontificia Universidad Católica del Perú, 2012. http://repositorio.pucp.edu.pe/index/handle/123456789/96049.

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The present paper is a continuation to authors paper [11]where three variable analogues of certain fractional integraloperators of M. Saigo were investigated. This paper dealswith the effect of operating three variable analogues of Mellinand Laplace transforms on these three variable analogues offractional integral operators of the earlier paper.
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González, Luiz Felipe. "Some integral operators in thermodynamic formalism." Thesis, University of Warwick, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.396693.

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Hartung, Tobias. "z-functions of Fourier Integral Operators." Thesis, King's College London (University of London), 2015. http://kclpure.kcl.ac.uk/portal/en/theses/zfunctions-of-fourier-integral-operators(933e5068-2890-4d32-a991-fafa784bfda7).html.

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Based on Guillemin’s work on gauged Lagrangian distributions, we will introduce the notion of a gauged poly-log-homogeneous distribution as an approach to ζ-functions for a class of Fourier Integral Operators which includes cases of amplitudes with asymptotic expansion Σk∈N amk where each amk is log-homogeneous with degree of homogeneity mk but violating R(mk) → −∞. We will calculate the Laurent expansion for the ζ-function and give formulae for the coefficients in terms of the phase function and amplitude, as well as investigate generalizations to the Kontsevich-Vishik trace. Using stationary phase approximation, series representations for the Laurent coefficients and values of ζ-functions will be stated explicitly, and the kernel singularity structure will be studied. This will yield algebras of Fourier Integral Operators which purely consist of Hilbert-Schmidt operators and whose ζ-functions are entire, as well as algebras in which the generalized Kontsevich- Vishik trace is form-equivalent to the pseudo-differential operator case. Additionally, we will introduce an approximation method (mollification) for ζ-functions of Fourier Integral Operators whose amplitudes are poly-log-homogeneous at zero by ζ-functions of Fourier Integral Operators with “regular” amplitudes. In part II, we will study Bochner-, Lebesgue-, and Pettis integration in algebras of Fourier Integral Operators. The integration theory will extend the notion of parameter dependent Fourier Integral Operators and is compatible with the Atiyah-Jänich index bundle as well as the ζ-function calculus developed in part I. Furthermore, it allows one to emulate calculations using holomorphic functional calculus in algebras without functional calculus, and to consider measurable families of Fourier Integral Operators as they appear, for instance, in heat- and wave-traces of manifolds whose metrics are subject to random (possibly singular) perturbations.
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Khan, Mumtaz Ahmad, and Abukhammash Ghazi Salama. "On certain fractional integral operators of two variables and integral transforms." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97226.

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The present paper is in continuation to authors earlier paper {9} where two variable analogues of certain fractional integral operators of M. Saigo were investigated. This paper deals with the effect of operating two variable analogues of Mellin and Laplace transforms on these two variable analogues of fractional integral operators of the earlier paper.
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Reguera, Rodriguez Maria del Carmen. "Sharp weighted estimates for singular integral operators." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/39522.

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The thesis provides answers, in one case partial and in the other final, to two conjectures in the area of weighted inequalities for Singular Integral Operators. We study the mapping properties of these operators in weighted Lebesgue spaces with weight w. The novelty of this thesis resides in proving sharp dependence of the operator norm on the Muckenhoupt constant associated to the weigth w for a rich class of Singular Integral operators. The thesis also addresses the end point case p=1, providing counterexamples for the dyadic and continuous settings.
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Huettenmueller, Rhonda. "The Pettis Integral and Operator Theory." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc2844/.

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Let (Ω, Σ, µ) be a finite measure space and X, a Banach space with continuous dual X*. A scalarly measurable function f: Ω→X is Dunford integrable if for each x* X*, x*f L1(µ). Define the operator Tf. X* → L1(µ) by T(x*) = x*f. Then f is Pettis integrable if and only if this operator is weak*-to-weak continuous. This paper begins with an overview of this function. Work by Robert Huff and Gunnar Stefansson on the operator Tf motivates much of this paper. Conditions that make Tf weak*-to-weak continuous are generalized to weak*-to­weak continuous operators on dual spaces. For instance, if Tf is weakly compact and if there exists a separable subspace D X such that for each x* X*, x*f = x*fχDµ-a.e, then f is Pettis integrable. This nation is generalized to bounded operators T: X* → Y. To say that T is determined by D means that if x*| D = 0, then T (x*) = 0. Determining subspaces are used to help prove certain facts about operators on dual spaces. Attention is given to finding determining subspaces far a given T: X* → Y. The kernel of T and the adjoint T* of T are used to construct determining subspaces for T. For example, if T*(Y*) ∩ X is weak* dense in T*(Y*), then T is determined by T*(Y*) ∩ X. Also if ker(T) is weak* closed in X*, then the annihilator of ker(T) (in X) is the unique minimal determining subspace for T.
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Ehrhardt, Torsten. "Factorization theory for Toeplitz plus Hankel operators and singular integral operators with flip." Doctoral thesis, [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=972573305.

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Books on the topic "Integral operators"

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Mikhlin, S. G. Singular integral operators. Berlin: Springer-Verlag, 1986.

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Mikhlin, S. G. Singular integral operators. Berlin: Akademie-Verlag, 1986.

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Kravchenko, Victor G. Introduction to the theory of singular integral operators with shift. Dordrecht: Kluwer Academic Publishers, 1994.

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Duistermaat, J. J. Fourier Integral Operators. Boston: Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-8108-1.

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Mikhlin, Solomon G., and Siegfried Prössdorf. Singular Integral Operators. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61631-0.

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Gohberg, I., R. Mennicken, and C. Tretter, eds. Differential and Integral Operators. Basel: Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8789-2.

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Găvruța, Pasc. Inequalities for integral operators. Timișoara: Tipografia Universității din Timişoara, 1989.

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8

1952-, Kalitvin Anatolij S., and Zabreĭko P. P. 1939-, eds. Partial integral operators and integro-differential equations. New York: M. Dekker, 2000.

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9

I, Gohberg. One-dimensional linear singular integral equations. Basel: Birkhäuser Verlag, 1992.

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10

S, Kutateladze S., ed. Vector lattices and integral operators. Dordrecht: Kluwer Academic Publishers, 1996.

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Book chapters on the topic "Integral operators"

1

Kusraev, Anatoly G. "Integral Operators." In Dominated Operators, 236–90. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9349-6_6.

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Castillo, René Erlín, and Humberto Rafeiro. "Integral Operators." In CMS Books in Mathematics, 359–82. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30034-4_10.

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Walnut, David F. "Integral Operators." In An Introduction to Wavelet Analysis, 397–421. Boston, MA: Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-1-4612-0001-7_13.

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Bukhvalov, A. V., V. B. Korotkov, and B. M. Makarovt. "Integral Operators." In Vector Lattices and Integral Operators, 279–346. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0195-7_4.

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Abramovich, Y., and C. Aliprantis. "Integral operators." In Graduate Studies in Mathematics, 179–236. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/gsm/050/05.

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Abramovich, Y., and C. Aliprantis. "Integral operators." In Problems in Operator Theory, 145–87. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/gsm/051/05.

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Halfar, Peter. "Integral Operators." In Stresses in glaciers, 13–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. http://dx.doi.org/10.1007/978-3-662-66024-9_3.

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Hsiao, George C., and Wolfgang L. Wendland. "Pseudodifferential Operators as Integral Operators." In Boundary Integral Equations, 479–538. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71127-6_8.

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Kern, Michel. "Integral Operators and Integral Equations." In Numerical Methods for Inverse Problems, 29–44. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2016. http://dx.doi.org/10.1002/9781119136941.ch3.

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Aral, Ali, Vijay Gupta, and Ravi P. Agarwal. "q-Integral Operators." In Applications of q-Calculus in Operator Theory, 73–112. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6946-9_3.

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Conference papers on the topic "Integral operators"

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KOREPIN, VLADIMIR I. "INTEGRABLE INTEGRAL OPERATORS." In Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811264_0020.

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Fendler, Gero, Karlheinz Gröchenig, and Michael Leinert. "Convolution-dominated integral operators." In Noncommutative Harmonic Analysis with Applications to Probability II. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2010. http://dx.doi.org/10.4064/bc89-0-6.

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Karelin, Oleksandr. "Operator Equalities for Singular Integral Operators and Their Applications." In Proceedings of the 4th International ISAAC Congress. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701732_0046.

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Ibrahim, Rabha W., and Maslina Darus. "Generalized the Pommerenke integral operators." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882559.

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Hocaoglu, Ali K., and Paul D. Gader. "Choquet integral-based morphological operators." In Electronic Imaging '99, edited by Edward R. Dougherty and Jaakko T. Astola. SPIE, 1999. http://dx.doi.org/10.1117/12.341101.

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Beltiţă, Ingrid. "Multilinear singular integral operators in backscattering." In MATHEMATICAL MODELING OF WAVE PHENOMENA: 2nd Conference on Mathematical Modeling of Wave Phenomena. AIP, 2006. http://dx.doi.org/10.1063/1.2205806.

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Maly, Lukas, Jan Zapletal, and Michal Merta. "Vectorized evaluation of boundary integral operators." In CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5114331.

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Vainikko, Gennadi, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Cordial Volterra Integral Operators and Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241316.

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Szeptycki, Paweł. "Locally convex domains of integral operators." In Topological Algebras, their Applications, and Related Topics. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc67-0-28.

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Polosin, A., and N. Popivanov. "Some properties of degenerated singular integral operators." In “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0100930.

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Reports on the topic "Integral operators"

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Smalley, A. J. TR-97-1 Crankshaft Protection-Guidelines for Operators of Slow Speed Integral Engine-Compressors. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), January 1997. http://dx.doi.org/10.55274/r0011856.

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This document presents best practices guidelines for crankshaft protection to operators of slow-speed integral engine/compressors. The text first provides some background to the problem of crankshaft failure. It then summarizes the guidelines in a series of one line recommendations, under the headings of: � Installation � Operation � Condition Monitoring and Inspection � Protection Systems � Condition Monitoring Criteria, Analysis, and Action This series of one-line recommendations is followed by a section that provides narrative discussion, background, rationale, and some illustrative graphics, corresponding to each of the one-line guidelines.
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Gautam, Mamta, Kavita Wankhade, Mamta Mantri, Vishnupriya Narayan, Naveen G, Upender Verma, Selvam R, Srinithi Sudhakar, and Gayathri Sarangan. De-Sludging Operators: An Assessment of Occupational Safety in Two Indian Cities. Indian Institute for Human Settlements, 2019. http://dx.doi.org/10.24943/tnusspdo09.2019.

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Safe collection, handling and transport of fecal sludge is an integral part of septage management. Limited attention has been paid to the safe collection, transport, disposal and treatment of human excreta from septic tanks. A study was conducted in two cities in India to understand the current desludging practices, the underlying reasons for current occupational practices and hazards, relevance and sufficiency of personal protection equipment, and suggest ways to improve occupational safety. This report presents the findings of the study along with recommendations which are mapped on the hierarchy of controls.
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Patton, Gary S. Public Affairs and Information Operations: Integral or Incompatible. Fort Belvoir, VA: Defense Technical Information Center, April 2000. http://dx.doi.org/10.21236/ada376340.

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Gerdjikov, Vladimir S., and Alexander V. Mikhailov. Recursion Operators and Reductions of Integrable Equations on Symmetric Spaces. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-11-42.

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Grinfeld, Pavel. Recursion Operators and Reductions of Integrable Equations on Symmetric Spaces. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-20-2010-1-34.

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Perkins, Christopher S. Special Operations Forces (SOF): An Integral Part of the Theater Operating System. Fort Belvoir, VA: Defense Technical Information Center, February 1994. http://dx.doi.org/10.21236/ada279634.

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Fetcu, Dorel. Integral Submanifolds in Three-Sasakian Manifolds Whose Mean Curvature Vector Fields are Eigenvectors of the Laplace Operator. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-210-223.

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Moore, Murray E. Design and Integrate Improved Systems for Nuclear Facility Ventilation and Exhaust Operations. Office of Scientific and Technical Information (OSTI), April 2014. http://dx.doi.org/10.2172/1127488.

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Miller, Jack. Overseas Electricity Interconnection. Parliamentary Office of Science and Technology, February 2018. http://dx.doi.org/10.58248/pn569.

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Electricity markets in the UK, Ireland and continental Europe are physically linked by ‘interconnector’ cables. These benefit energy system operators and consumers by reducing prices. They can also help integrate renewable electricity and ensure security of supply. This note discusses these benefits, proposals for future increases in interconnection and the potential effects of Brexit.
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Alleng, Gerard. Climate Change and the Caribbean: Areas of Intervention: Financing for the Caribbean Sustainable Energy and Climate Change Unit (ECC), Infrastructure and Environment Department (INE). Inter-American Development Bank, February 2011. http://dx.doi.org/10.18235/0008831.

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This presentation discusses the cost of impacts of climate change on the Caribbean. The response of adaptation will need to be applied towards an integral strategy to build on disaster risk reduction best practices and climate risk management. The response of the IDB to the climate change needs of member countries will need to include the use of financial instruments, the development of knowledge products, and the mainstreaming of climate change into the operations of the Bank.
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