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Harmonic Analysis on Symmetric Spaces: Higher Rank Spaces, Positive Definite Matrix Space and Generalizations - Brossura
- EditoreSpringer Nature
- Data di pubblicazione2018
- ISBN 10 1493980424
- ISBN 13 9781493980420
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine504
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Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
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Condizione: 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. Codice articolo 447957625
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Harmonic Analysis on Symmetric Spaces¿Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
Editore:
Springer New York Apr 2018, 2018
ISBN 10: 1493980424
ISBN 13: 9781493980420
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Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: 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 Poincaré 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. 504 pp. Englisch. Codice articolo 9781493980420
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Harmonic Analysis on Symmetric Spaces?higher Rank Spaces, Positive Definite Matrix Space and Generalizations : Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
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Harmonic Analysis on Symmetric Spaces?higher Rank Spaces, Positive Definite Matrix Space and Generalizations : Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
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Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
Editore:
Springer New York, Springer New York, 2018
ISBN 10: 1493980424
ISBN 13: 9781493980420
Nuovo
Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: 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 Poincaré 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. Codice articolo 9781493980420
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Harmonic Analysis on Symmetric Spacesâ"higher Rank Spaces, Positive Definite Matrix Space and Generalizations : Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
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Harmonic Analysis on Symmetric Spaces?Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
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Harmonic Analysis on Symmetric Spacesâ"higher Rank Spaces, Positive Definite Matrix Space and Generalizations : Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
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Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
Editore:
Springer-Verlag New York Inc., 2018
ISBN 10: 1493980424
ISBN 13: 9781493980420
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Paperback / softback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 761. Codice articolo C9781493980420
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Harmonic Analysis on Symmetric Spaces?Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
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Condizione: New. Codice articolo ABLIING23Mar2716030187899
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