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Books on the topic 'Spectral function'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 January 2023

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1

Brown, B. Malcolm, Jan Lang, and Ian G. Wood, eds. Spectral Theory, Function Spaces and Inequalities. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0263-5.

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2

Nikolskii, N. K., ed. Toeplitz Operators and Spectral Function Theory. Basel: Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-5587-7.

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3

Motohashi, Y. Spectral theory of the Riemann zeta-function. Cambridge: Cambridge University Press, 1997.

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4

Haroske, Dorothee. Some logarithmic function spaces, entropy numbers, applications to spectral theory. Warszawa: Polska Akademia Nauk, Instytut Matematyczny, 1998.

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5

Treatise on the shift operator: Spectral function theory. Berlin: Springer-Verlag,c, 1986.

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6

Jan, Lang, Wood Ian G, and SpringerLink (Online service), eds. Spectral Theory, Function Spaces and Inequalities: New Techniques and Recent Trends. Basel: Springer Basel AG, 2012.

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7

Hedberg, Lars Inge. An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation. Providence, RI: American Mathematical Society, 2007.

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8

Siegel, Robert. Two-flux Green's function analysis for transient spectral radiation in a composite. Reston, VA: American Institute of Aeronautics and Astronautics, 1996.

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9

Siegel, Robert. Two-flux Green's function analysis for transient spectral radiation in a composite. Reston, VA: American Institute of Aeronautics and Astronautics, 1996.

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10

Siegel, Robert. Two-flux Green's function analysis for transient spectral radiation in a composite. Reston, VA: American Institute of Aeronautics and Astronautics, 1996.

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11

Fractals and spectra: Related to Fourier analysis and function spaces. Basel: Birkhäuser, 1997.

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12

Jakobson, Dmitry, Pierre Albin, and Frédéric Rochon. Geometric and spectral analysis. Providence, Rhode Island: American Mathematical Society, 2014.

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13

Funaro, Daniele. Convergence results for pseudospectral approximations of hyperbolic systems by a penalty type boundary treatment. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1989.

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14

Funaro, Daniele. Convergence results for pseudospectral approximations of hyperbolic systems by a penalty type boundary treatment. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1989.

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15

He, Christina Q. Generalized Minkowski content, spectrum of fractal drums, fractal strings, and the Riemann-zeta-function. Providence, R.I: American Mathematical Society, 1997.

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16

Gottlieb, David. On the Gibbs phenomenon III: Recovering exponential accuracy in a sub-interval from a spectral partial sum of a piecewise analytic function. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1993.

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17

Shinozuka, Masanobu. Power spectral density functions compatible with NRC regulatory guide 1.60 response spectra. Washington, DC: Division of Engineering, Division of Reactor Accident Analysis, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1988.

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18

Functional analysis: Spectral theory. Basel: Birkhäuser Verlag, 1997.

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19

1961-, Montes-Rodríguez Alfonso, ed. The role of the spectrum in the cyclic behavior of composition operators. Providence, R.I: American Mathematical Society, 2004.

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20

Spectral functions in mathematics and physics. Boca Raton: Chapman & Hall/CRC, 2002.

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21

Lapidus, Michel L., and Machiel van Frankenhuysen, eds. Dynamical, Spectral, and Arithmetic Zeta Functions. Providence, Rhode Island: American Mathematical Society, 2001. http://dx.doi.org/10.1090/conm/290.

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22

Ten physical applications of spectral zeta functions. Berlin: Springer, 1995.

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23

Elizalde, Emilio. Ten Physical Applications of Spectral Zeta Functions. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29405-1.

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24

service), SpringerLink (Online, ed. Ten Physical Applications of Spectral Zeta Functions. 2nd ed. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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25

Spectral analysis, differential equations, and mathematical physics: A festschrift in honor of Fritz Gesztesy's 60th birthday. Providence, Rhode Island: American Mathematical Society, 2013.

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26

Spectral theory and nonlinear functional analysis. Boca Raton, Fla: Chapman & Hall/CRC, 2001.

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27

Einsiedler, Manfred, and Thomas Ward. Functional Analysis, Spectral Theory, and Applications. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58540-6.

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28

Venkov, A. B. Spectral theory of automorphic functions and its applications. Dordrecht: Kluwer Academic Publishers, 1990.

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29

1956-, Lapidus Michel L., and Van Frankenhuysen Machiel 1967-, eds. Dynamical, spectral, and arithmetic zeta functions: AMS Special Session on Dynamical, Spectral, and Arithmetic Zeta Functions, January 15-16, 1999, San Antonio, Texas. Providence, R.I: American Mathematical Society, 2001.

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30

Operator functions and localization of spectra. Berlin: Springer, 2003.

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31

Noback, R. Atmospheric turbulence spectra and correlation functions. Amsterdam: National Aerospace Laboratory, 1989.

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32

Gil’, Michael I. Operator Functions and Localization of Spectra. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/b93845.

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33

Bernardi, Christine. Spectral methods for axisymmetric domains. Paris: Gauthier-Villars, 1999.

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34

Spectral methods of automorphic forms. 2nd ed. Providence, R.I: American Mathematical Society, 2002.

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35

Venkov, Alexei B. Spectral Theory of Automorphic Functions and Its Applications. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1892-4.

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36

Cai, Wei. On one-sided filters for spectral Fourier approximations of discontinuous functions. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1991.

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37

Wang, Feng-Yu. Functional inequalities, Markov semigroups and spectral theory. Beijing: Science press, 2005.

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38

Morawetz, Klaus. Spectral Properties. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0008.

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The spectral properties of the nonequilibrium Green’s functions are explored. Causality and sum rules are shown to be completed by the extended quasiparticle picture. The off-shell motion is seen to become visible in satellite structures of the spectral function. Different forms of ansatz to reduce the two-time Green’s function to a one-time reduced density matrix are discussed with respect to the consistency to other approximations. We have seen from the information contained in the correlation function that the statistical weight of excitations with which the distributions are populated are given by the spectral function. This momentum-resolved density of state can be found by the retarded and advance functions.
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39

Spectral Theory of the Riemann Zeta-Function. Cambridge University Press, 2008.

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40

Motohashi, Yoichi. Spectral Theory of the Riemann Zeta-Function. Cambridge University Press, 2015.

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41

Motohashi, Yoichi. Spectral Theory of the Riemann Zeta-Function. Cambridge University Press, 2011.

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42

Nikolskii, N. K. Treatise on the Shift Operator: Spectral Function Theory. Springer, 2011.

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43

Hruscev, S. V., V. V. Peller, J. Peetre, and N. K. Nikol'skii. Treatise on the Shift Operator: Spectral Function Theory. Springer London, Limited, 2012.

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44

Nuttall, A. H. Wigner distribution function: relation to short-term spectral estimation. 1988.

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45

Dym, H., and H. P. McKean. Gaussian Processes, Function Theory, and the Inverse Spectral Problem. Dover Publications, 2008.

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46

Horing, Norman J. Morgenstern. Thermodynamic Green’s Functions and Spectral Structure. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0007.

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Multiparticle thermodynamic Green’s functions, defined in terms of grand canonical ensemble averages of time-ordered products of creation and annihilation operators, are interpreted as tracing the amplitude for time-developing correlated interacting particle motions taking place in the background of a thermal ensemble. Under equilibrium conditions, time-translational invariance permits the one-particle thermal Green’s function to be represented in terms of a single frequency, leading to a Lehmann spectral representation whose frequency poles describe the energy spectrum. This Green’s function has finite values for both t>t′ and t<t′ (unlike retarded Green’s functions), and the two parts G1> and G1< (respectively) obey a simple proportionality relation that facilitates the introduction of a spectral weight function: It is also interpreted in terms of a periodicity/antiperiodicity property of a modified Green’s function in imaginary time capable of a Fourier series representation with imaginary (Matsubara) frequencies. The analytic continuation from imaginary time to real time is discussed, as are related commutator/anticommutator functions, also retarded/advanced Green’s functions, and the spectral weight sum rule is derived. Statistical thermodynamic information is shown to be embedded in physical features of the one- and two-particle thermodynamic Green’s functions.
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47

Brown, B. Malcolm, Jan Lang, and Ian G. Wood. Spectral Theory, Function Spaces and Inequalities: New Techniques and Recent Trends. Birkhäuser, 2014.

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48

Kay, Irvin W., and H. E. Moses. Determination of the Scattering Potential from the Spectral Measure Function. Creative Media Partners, LLC, 2018.

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49

Dyson, Freeman. Spectral statistics of unitary ensembles. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.4.

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This article focuses on the use of the orthogonal polynomial method for computing correlation functions, cluster functions, gap probability, Janossy density, and spacing distributions for the eigenvalues of matrix ensembles with unitary-invariant probability law. It first considers the classical families of orthogonal polynomials (Hermite, Laguerre, and Jacobi) and some corresponding unitary ensembles before discussing the statistical properties of N-tuples of real numbers. It then reviews the definitions of basic statistical quantities and demonstrates how their distributions can be made explicit in terms of orthogonal polynomials. It also describes the k-point correlation function, Fredholm determinants of finite-rank kernels, and resolvent kernels.
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50

Fractals And Spectra Related To Fourier Analysis And Function Spaces. Birkh User, 2010.

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