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1 Antoine, Jean-Pierre Coherent States and Their Applications I10026 2018 eBook  
2 Eckstein, Micha?? Spectral Action in Noncommutative Geometry I09061 2018 eBook  
3 Wolf, J.A Harmonic Analysis and Representations of Semisimple Lie Groups I03564 1980 eBook  
4 Dobrev, V. K Harmonic Analysis I00878 1977 eBook  
5 Christopher D. Sogge Lectures on non-linear wave equations 026215 2013 Book  
6 Benedetto, John J. (ed.) Sampling, wavelets, and tomography 019906 2004 Book  
7 Asim O. Barut Theory of group representations and applications 019380 1986 Book  
8 Lanczos, Cornelius Applied analysis 018421 1988 Book  
9 Gerald B. Folland Harmonic analysis in phase space 003530 1989 Book  
10 Mitsuo Sugiura Unitary representations and harmonic analysis: An introduction 005411 1990 Book  
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TitleCoherent States and Their Applications : A Contemporary Panorama
Author(s)Antoine, Jean-Pierre;Bagarello, Fabio;Gazeau, Jean-Pierre
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXII, 347 p. 13 illus., 11 illus. in color : online resource
Abstract NoteCoherent states (CS) were originally introduced in 1926 by Schr??dinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research topics in mathematics. The purpose of the 2016 CIRM conference was to bring together leading experts in the field with scientists interested in related topics, to jointly investigate their applications in physics, their various mathematical properties, and their generalizations in many directions. Instead of traditional proceedings, this book presents sixteen longer review-type contributions, which are the outcome of a collaborative effort by many conference participants, subsequently reviewed by independent experts. The book aptly illustrates the diversity of CS aspects, from purely mathematical topics to physical applications, including quantum gravity
ISBN,Price9783319767321
Keyword(s)1. Abstract Harmonic Analysis 2. EBOOK 3. EBOOK - SPRINGER 4. HARMONIC ANALYSIS 5. Mathematical Applications in the Physical Sciences 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. QUANTUM PHYSICS
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I10026     On Shelf    

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TitleSpectral Action in Noncommutative Geometry
Author(s)Eckstein, Micha??;Iochum, Bruno
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXIV, 155 p. 3 illus : online resource
Abstract NoteWhat is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry ?? la Connes, deliberately unveiling the answers to these questions. After a brief preface flashing the panorama of the spectral approach, a concise primer on spectral triples is given. Chapter 2 is designed to serve as a toolkit for computations. The third chapter offers an in-depth view into the subtle links between the asymptotic expansions of traces of heat operators and meromorphic extensions of the associated spectral zeta functions. Chapter 4 studies the behaviour of the spectral action under fluctuations by gauge potentials. A subjective list of open problems in the field is spelled out in the fifth Chapter. The book concludes with an appendix including some auxiliary tools from geometry and analysis, along with examples of spectral geometries. The book serves both as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts
ISBN,Price9783319947884
Keyword(s)1. Abstract Harmonic Analysis 2. ALGEBRAIC GEOMETRY 3. Classical and Quantum Gravitation, Relativity Theory 4. EBOOK 5. EBOOK - SPRINGER 6. Elementary particles (Physics) 7. Elementary Particles, Quantum Field Theory 8. GRAVITATION 9. HARMONIC ANALYSIS 10. Mathematical Methods in Physics 11. MATHEMATICAL PHYSICS 12. PHYSICS 13. QUANTUM FIELD THEORY
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I09061     On Shelf    

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TitleHarmonic Analysis and Representations of Semisimple Lie Groups : Lectures given at the NATO Advanced Study Institute on Representations of Lie Groups and Harmonic Analysis, held at Li??ge, Belgium, September 5???17, 1977
Author(s)Wolf, J.A;Cahen, M;de Wilde, M
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1980.
DescriptionVIII, 496 p : online resource
Abstract NoteThis book presents the text of the lectures which were given at the NATO Advanced Study Institute on Representations of Lie groups and Harmonic Analysis which was held in Liege from September 5 to September 17, 1977. The general aim of this Summer School was to give a coordinated intro?? duction to the theory of representations of semisimple Lie groups and to non-commutative harmonic analysis on these groups, together with some glance at physical applications and at the related subject of random walks. As will appear to the reader, the order of the papers - which follows relatively closely the order of the lectures which were actually give- follows a logical pattern. The two first papers are introductory: the one by R. Blattner describes in a very progressive way a path going from standard Fourier analysis on IR" to non-commutative harmonic analysis on a locally compact group; the paper by J. Wolf describes the structure of semisimple Lie groups, the finite-dimensional representations of these groups and introduces basic facts about infinite-dimensional unitary representations. Two of the editors want to thank particularly these two lecturers who were very careful to pave the way for the later lectures. Both these chapters give also very useful guidelines to the relevant literature
ISBN,Price9789400989610
Keyword(s)1. Abstract Harmonic Analysis 2. EBOOK 3. EBOOK - SPRINGER 4. HARMONIC ANALYSIS 5. MATHEMATICAL PHYSICS 6. Theoretical, Mathematical and Computational Physics
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TitleHarmonic Analysis : On the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory
Author(s)Dobrev, V. K;Mack, G;Petkova, V. B;Petrova, S. G;Todorov, I. T
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1977.
DescriptionX, 283 p : online resource
ISBN,Price9783540373810
Keyword(s)1. Abstract Harmonic Analysis 2. ACOUSTICS 3. EBOOK 4. EBOOK - SPRINGER 5. HARMONIC ANALYSIS 6. Quantum Field Theories, String Theory 7. QUANTUM FIELD THEORY 8. STRING THEORY
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I00878     On Shelf    

5.     
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TitleLectures on non-linear wave equations
Author(s)Christopher D. Sogge
Edition2nd ed.
PublicationSomerville, International Press of Boston Inc, 2013.
Descriptionviii, 204p.
Abstract NoteThis much-anticipated revised second edition of Christopher Sogge's 1995 work provides a self-contained account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential equations. Sogge examines quasilinear equations with small data where the Klainerman-Sobolev inequalities and weighted space-time estimates are introduced to prove global existence results. New simplified arguments are given in the current edition that allow one to handle quasilinear systems with multiple wave speeds. The next topic concerns semilinear equations with small initial data. John's existence theorem for R1 3 is discussed with blow-up problems and some results for the spherically symmetric case. After this, general Strichartz estimates are treated. A proof of the endpoint Strichartz estimates of Keel and Tao and the Christ-Kiselev lemma are given, the material being new in this edition. Using the Strichartz estimates, the critical wave equation in R1 3 is studied.
ISBN,Price9781571462794 : US $39.00(PB)
Classification517.95
Keyword(s)1. HARMONIC ANALYSIS 2. LINEAR WAVE EQUATION 3. PARTIAL DIFFERENTIAL EQUATIONS 4. STRICHARTZ ESTIMATES 5. WAVE EQUATION
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TitleSampling, wavelets, and tomography
Author(s)John J. Benedetto (ed.);Ahmed I. Zayed (ed.)
PublicationBoston, Birkhauser, 2004.
Descriptionxiii, 344p.
Series(Applied and Numeric Harmonic Analysis)
ISBN,Price0817643044 : Euro 95.00
Classification517.44
Keyword(s)1. FOURIER ANALYSIS 2. HARMONIC ANALYSIS 3. SAMPLING 4. TOMOGRAPHY 5. WAVELETS
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TitleTheory of group representations and applications
Author(s)Asim O. Barut;Ryszard Raczka
Edition2nd Revised
PublicationSingapore, World Scientific Publishing Co. Pvt. Ltd., 1986.
Descriptionxix, 717p.
ISBN,Price9971502178 : 75(US $)
Classification512.54
Keyword(s)1. GROUP REPRESENTATION 2. GROUP THEORY 3. HARMONIC ANALYSIS 4. HOMOGENEOUS SPACE 5. LIE ALGEBRAS 6. LIE GROUPS 7. SYMMETRIC SPACES 8. TOPOLOGY GROUPS
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019380   512.54 BAR/019380  On Shelf    

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TitleApplied analysis
Author(s)Lanczos, Cornelius
PublicationNew York 1988.
Description531p.
ISBN,Price048665656X : USD 22.95
Classification519.6
Keyword(s)1. ALGEBRAIC EQUATIONS 2. CHEBYSHEV POLYNOMIALS 3. DATA ANALYSIS 4. HARMONIC ANALYSIS 5. MATHEMATICAL ANALYSIS 6. MATHEMATICAL PHYSICS 7. MATRICES 8. NUMERICAL ANALYSIS 9. POWER EXPANSIONS 10. QUADRATURE METHODS
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018421   Cornelius,/018421  On Shelf    

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TitleHarmonic analysis in phase space
Author(s)Gerald B. Folland
PublicationNew Jersey, Princeton University Press, 1989.
Description288p.;Bib. pp. 265-274
Series(Annals of Mathematics Studies)
Classification517.986.6
Keyword(s)1. EBOOK 2. EBOOK - PRINCETON UNIVERSITY PRESS 3. HARMONIC ANALYSIS 4. PHASE SPACE
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TitleUnitary representations and harmonic analysis: An introduction
Author(s)Mitsuo Sugiura
Edition2nd ed.
PublicationAmsterdam, North-Holland, 1990.
Descriptionxv,449pp.;Bib. pp. 417-448
Series(North-Holland Mathematical Library)
Classification517.986.6
Keyword(s)1. HARMONIC ANALYSIS 2. UNITARY REPRESENTATION OF LIE
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005411   517.986.6/SUG/005411  On Shelf    

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