Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. New edition extensively revised and updatedIncludes many new figures and examplesNew topics include random matrix theory and quantum chaosIncludes recent work on modular forms and their corresponding L-functions in higher rank, the h. N� de r�f. du vendeur 74362956

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Harmonic Analysis on Symmetric Spaces�Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Audrey Terras

Edit� par Springer New York Apr 2016, 2016

ISBN 10 : 1493934066 ISBN 13 : 9781493934065

Neuf Couverture rigide

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for beginning graduate students in mathematics or researchers in physics or engineering. As with the introductory book entitled 'Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincar� Upper Half Plane, the style is informal with an emphasis on motivation, concrete examples, history, and applications. The symmetric spaces considered here are quotients X=G/K, where G is a non-compact real Lie group, such as the general linear group GL(n,P) of all n x n non-singular real matrices, and K=O(n), the maximal compact subgroup of orthogonal matrices. Other examples are Siegel's upper half 'plane' and the quaternionic upper half 'plane'. In the case of the general linear group, one can identify X with the space Pn of n x n positive definite symmetric matrices.Many corrections and updates have been incorporated in this new edition. Updates include discussions of random matrix theory and quantum chaos, as well as recent research on modular forms and their corresponding L-functions in higher rank. Many applications have been added, such as the solution of the heat equation on Pn, the central limit theorem of Donald St. P. Richards for Pn, results on densest lattice packing of spheres in Euclidean space, and GL(n)-analogs of the Weyl law for eigenvalues of the Laplacian in plane domains. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, fundamental domains in X for discrete groups (such as the modular group GL(n,Z) of n x n matrices with integer entries and determinant �1), connections with the problem of finding densest lattice packings of spheres in Euclidean space, automorphic forms, Hecke operators, L-functions, and the Selberg trace formula and its applications in spectral theory as well as number theory. 508 pp. Englisch. N� de r�f. du vendeur 9781493934065

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Harmonic Analysis on Symmetric Spaces?Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Terras

Edit� par Springer, 2016

ISBN 10 : 1493934066 ISBN 13 : 9781493934065

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Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni

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Etat : New. In English. N� de r�f. du vendeur ria9781493934065_new

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Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Audrey Terras

Edit� par Springer New York, Springer New York, 2016

ISBN 10 : 1493934066 ISBN 13 : 9781493934065

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for beginning graduate students in mathematics or researchers in physics or engineering. As with the introductory book entitled 'Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincar� Upper Half Plane, the style is informal with an emphasis on motivation, concrete examples, history, and applications. The symmetric spaces considered here are quotients X=G/K, where G is a non-compact real Lie group, such as the general linear group GL(n,P) of all n x n non-singular real matrices, and K=O(n), the maximal compact subgroup of orthogonal matrices. Other examples are Siegel's upper half 'plane' and the quaternionic upper half 'plane'. In the case of the general linear group, one can identify X with the space Pn of n x n positive definite symmetric matrices.Manycorrections and updates have been incorporated in this new edition. Updates include discussions of random matrix theory and quantum chaos, as well as recent research on modular forms and their corresponding L-functions in higher rank. Many applications have been added, such as the solution of the heat equation on Pn, the central limit theorem of Donald St. P. Richards for Pn, results on densest lattice packing of spheres in Euclidean space, and GL(n)-analogs of the Weyl law for eigenvalues of the Laplacian in plane domains. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, fundamental domains in X for discrete groups (such as the modular group GL(n,Z) of n x n matrices with integer entries and determinant �1), connections with the problem of finding densest lattice packings of spheres in Euclidean space, automorphic forms, Hecke operators, L-functions, and the Selberg trace formula and its applications in spectral theory as well as number theory. N� de r�f. du vendeur 9781493934065

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Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Audrey Terras

Edit� par Springer-Verlag New York Inc., 2016

ISBN 10 : 1493934066 ISBN 13 : 9781493934065

Neuf Couverture rigide

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Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni

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Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 1132. N� de r�f. du vendeur C9781493934065

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