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Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations by Audrey Terras (Hardcover, 2016)

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Product Information

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 Poincare 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.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781493934065
eBay Product ID (ePID)
220965788

Product Key Features

Author
Audrey Terras
Publication Name
Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2016
Type
Textbook
Number of Pages
487 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
8749g

Additional Product Features

Title_Author
Audrey Terras
Country/Region of Manufacture
United States

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Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations by Audrey Terras (Hardcover, 2016)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Australian Guidebook for Structural Engineers by Lonnie Pack (Paperback, 2019)

Taking Charge of Adult ADHD by Christine M. Benton, Russell A. Barkley (Paperback, 2021)

Time Management by Peter Quarry (Paperback, 1986)

Save on Adult Learning & University

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A

Netter Atlas of Human Anatomy: Classic Regional Approach

Havard's Nursing Guide to Drugs

George Hrabovsky Leonard Susskind Classical Mechanics (Paperback)

NEW Learn to Earn By Peter Lynch Paperback Free Shipping

Steven Holzner Physics Essentials For Dummies (Paperback)

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