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Books on the topic 'Functional expansion'

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Published: 18 May 2024

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1

P, Banks Stephen. A functional expansion and stability for nonlinear input-output maps. Sheffield: University of Sheffield, Dept. of Control Engineering, 1989.

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2

Christensen, Ole. Functions, Spaces, and Expansions. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4980-7.

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3

Brown, Richard James. Asymptotic expansions of Zeta functions. Manchester: University of Manchester, 1996.

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4

Chang, Chiu-Cheng. A unified approach to uniqueness, expansion, and approximation problems. Singapore: World Scientific, 1994.

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5

Kislyakov, Sergey. Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals. Basel: Springer Basel, 2013.

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6

Flajolet, Philippe. Singularity analysis of generating functions. Stanford, Calif: Dept. of Computer Science, Stanford University, 1988.

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7

Functions, spaces, and expansions: Mathematical tools in physics and engineering. Boston, Mass: Birkhäuser, 2010.

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8

Németh, Géza. Mathematical approximation of special functions: Ten papers on Chebyshev expansions. New York: Nova Science Publishers, 1992.

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9

1960-, Costin O., Kruskal Martin D. 1925-, and Macintyre A. 1941-, eds. Analyzable functions and applications: International Workshop on Analyzable Functions and Applications, June 17-21, 2002, International Centre for Mathematical Sciences, Edinburgh, Scotland. Providence, R.I: American Mathematical Society, 2005.

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10

Marti, Kurt. Differentiation of probability functions: The transformation method. Neubiberg: Forschungsschwerpunkt Simulation und Optimierung Deterministischer und Stochastischer Dynamischer Systeme, Universität der Bundeswehr München, 1994.

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11

Borot, Gaëtan, Alice Guionnet, and Karol K. Kozlowski. Asymptotic Expansion of a Partition Function Related to the Sinh-model. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-33379-3.

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12

P, Kanwal Ram, and Estrada Ricardo 1956-, eds. A distributional approach to asymptotics: Theory and applications. 2nd ed. Boston: Birkhäuser, 2002.

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13

Zeta functions over zeros of zeta functions. Heidelberg: Springer, 2010.

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14

Németh, Géza. Mathematical approximation of special functions: Ten papers on Chebyshev expansions. New York: Nova Science Publishers, 1992.

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15

q-difference operators, orthogonal polynomials, and symmetric expansions. Providence, R.I: American Mathematical Society, 2002.

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16

Saurer, Josef. Bases of special functions and their domains of convergence. Berlin: Akademie Verlag GmbH, 1993.

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17

Weideman, J. A. C. Rational expansions for the computation of the complex error function. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1993.

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18

Pilipović, Stevan. Asymptotic behaviour and Stieltjes transformation of distributions. Leipzig: BSB B.G. Teubner Verlagsgesellschaft, 1990.

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19

Asymptotics and special functions. Wellesley, Mass: A.K. Peters, 1997.

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20

Balser, Werner. From divergent power series to analytic functions: Theory and application of multisummable power series. Berlin: Springer-Verlag, 1994.

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21

Around the research of Vladimir Maz'ya: Function spaces. New York: Springer, 2010.

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22

Zilic, Zeljko. Towards spectral synthesis: Field expansions for partial functions and logic modules for FPGAs. Ottawa: National Library of Canada = Bibliothèque nationale du Canada, 1997.

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23

Ramberger, Günter. Structural bearings and expansion joints for bridges. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2002. http://dx.doi.org/10.2749/sed006.

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<p>Bridge superstructures have to be designed to permit thermal and live load strains to occur without unintended restraints. Bridge bearings have to transfer forces from the superstructure to the substructure, allowing all movements in directions defined by the designer. The two functions -transfer the loads and allow movements only in the required directions for a long service time with little maintenance - are not so easy to fulfil. Differ­ent bearings for different purposes and requirements have been developed so, that the bridge designer can choose the most suitable bearing.</p> <p>By the movement of a bridge, gaps are necessary between superstructure and substructure. Expansion joints fill the gaps, allowing traffic loads tobe carried and allowing all expected displacements with low resistance. Ex­pansion joints should provide a smooth transition, avoid noise emission as far as possible and withstand all mechanical actions and chemical attacks (de-icing) for a long time. A simple exchange of all wearing parts and of the entire expansion joint should be possible.</p> <p>The present volume provides a comprehensive survey of arrangement, construction and installation of bearings and expansion joints for bridges including calculation of bearing reactions and movements, analysis and design, inspection and maintenance. A long list of references deals with the subjects but also with aspects in the vicinity of bearings and expansion joints.</p> <p>This book is aimed at both students and practising engineers, working in the field of bridge design, construction, analysis, inspection, maintenance and repair.</p>
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24

Gil, Amparo. Numerical methods for special functions. Philadelphia, Pa: Society for Industrial and Applied Mathematics, 2007.

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25

Rapp, R. Ocean domains and maximum degree of spherical harmonic and orthonormal expansions. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 1999.

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26

Rapp, R. Ocean domains and maximum degree of spherical harmonic and orthonormal expansions. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 1999.

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27

1968-, Arvesú Jorge, and Lopez Lagomasino Guillermo 1948-, eds. Recent advances in orthogonal polynomials, special functions, and their applications: 11th International Symposium on Orthogonal Polynomials, Special Functions, and Their Applications, August 29-September 2, 2011, Universidad Carlos III de Madrid, Leganes, Spain. Providence, R.I: American Mathematical Society, 2012.

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28

service), SpringerLink (Online, ed. Green's Functions and Infinite Products: Bridging the Divide. Boston: Springer Science+Business Media, LLC, 2011.

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29

Patil, S. H. Asymptotic Methods in Quantum Mechanics: Application to Atoms, Molecules and Nuclei. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000.

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30

Fujikoshi, Yasunori. Asymptotic expansions for the joint distribution of correlated hotelling's T2 statistics under normality. Toronto: University of Toronto, Dept. of Statistics, 1998.

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31

Allen, Zalcman Lawrence, ed. Complex proofs of real theorems. Providence, R.I: American Mathematical Society, 2012.

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32

Beirlant, Jan. Practical analysis of extreme values. Leuven, Belgium: Leuven University Press, 1996.

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33

Han, Maoan. Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles. London: Springer London, 2012.

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34

1928-, Gohberg I., Kaashoek M. A, Seatzu Sebastiano, and Mee, C. V. M. van der, eds. Recent advances in operator theory and its applications: The Israel Gohberg anniversary volume : International Workshop on Operator Theory and its Applications, IWOTA 2003, Cagliari, Italy. Boston: Birkhäuser Verlag, 2005.

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35

Bases in function spaces, sampling, discrepancy, numerical integration. Zürich: European Mathematical Society, 2010.

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36

Nanigopal, Mandal, ed. Integral expansions related to Mehler-Fock type transforms: Some new types of integral transforms involving spherical harmonics. Harlow: Longman, 1997.

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37

Estrada, Ricardo. Asymptotic analysis: A distributional approach. Boston [i.e. Cambridge, Mass]: Birkhäuser, 1993.

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38

Brown, Christopher Alfred. Rapid expansion and functional divergence of subtelomeric gene families in yeast. 2010.

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39

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Functional Integrals and Quantum Mechanics: Formal Developments. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0009.

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40

Morawetz, Klaus. Variational Techniques of Many-Body Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0011.

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The variational technique for nonequilibrium Green’s functions is derived resulting in the Hedin equations. This allows exploring of the high-density limit of diagrammatic expansions. Nonequilibrium Ward identities are presented. An asymmetric cummulant expansion of many-body Greens functions is developed resulting in asymmetric internal propagators which will become important for a consistent theory of pairing and condensation. All known approximations for the selfenergy are derived and reviewed with respect to asymmetric corrected propagators. The linear response formalism is discussed and the response for finite systems is presented. The link to functional renormalisation techniques is provided and integration of high-energy modes is discussed with hard and soft cut-off procedures.
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41

Tirapegui, E., Dirk Roekaerts, and Flor Langouche. Functional Integration and Semiclassical Expansions. Springer, 2013.

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42

Tirapegui, E., Dirk Roekaerts, and Flor Langouche. Functional Integration and Semiclassical Expansions. Springer, 2010.

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43

Olver, Frank. Asymptotics and Special Functions. CRC Press LLC, 1997.

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44

Buck, Robert Creighton, and Ralph P. Boas. Polynomial Expansions of Analytic Functions. Springer London, Limited, 2013.

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45

Lo, Gane Samb, Moumouni Diallo, and Modou Ngom. A Handbook of Second Order Expansions of Quantile Functions and Asymptotic Record Values Laws. SPAS-EDS, 2021. http://dx.doi.org/10.16929/srms/2021.003.

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In this monograph, our final objective is to provide second order expansions of quantile functions of as many probability laws as possible. Second order expansions of quantile functions are important tools for finding extreme value domain of attraction of probability laws and for discovering rates of convergence in extreme value theory. We hope that readers will make profit of the results in their works by using the right expansions of quantile functions from the monograph. In that spirit, we apply the quantiles expansions exposed here to deliver the corresponding asymptotic laws of records values. <br><br> In this first edition, fifty four distributions are concerned. For each of those probability laws, full computations for finding the expansion and the asymptotic record value theory are entirely justified. We will regularly update the handbook by adding probability laws in later editions.
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46

Kislyakov, Sergey, and Natan Kruglyak. Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals. Birkhäuser, 2014.

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47

Asymptotic Estimates and Entire Functions. Dover Publications, Incorporated, 2020.

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48

Ragab, F. M. Expansions for Products of Two Whittaker Functions. Creative Media Partners, LLC, 2015.

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49

Ragab, F. M. Expansions for Products of Two Whittaker Functions. Creative Media Partners, LLC, 2018.

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50

Abhyankar, Shreeram S., and U. Orbanz. Weighted Expansions for Canonical Desingularization. Springer London, Limited, 2006.

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