Harmonic analysis on symmetric spaces -- higher rank spaces, positive definite matrix space and generalizations /

Harmonic analysis on symmetric spaces -- higher rank spaces, positive definite matrix space and generalizations /

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Bibliographic Details
Author / Creator:Terras, Audrey, author.
Uniform title:Harmonic analysis on symmetric spaces and applications
Edition:Second edition.
Imprint:New York, NY : Springer, 2016.
Description:1 online resource (xv, 487 pages) : illustrations (some color)
Language:English
Subject:
Harmonic analysis.
Symmetric spaces.
Harmonic analysis.
Symmetric spaces.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11255370
Hidden Bibliographic Details
ISBN:9781493934089
1493934082
1493934066
9781493934065
9781493934065
Digital file characteristics:text file
PDF
Notes:Includes bibliographical references and index.
English.
Online resource; title from PDF title page (SpringerLink, viewed May 4, 2016).
Summary:This text explores the geometry and analysis of higher rank analogues of the symmetric spaces introduced in volume one. To illuminate both the parallels and differences of the higher rank theory, the space of positive matrices is treated in a manner mirroring that of the upper-half space in volume one. This concrete example furnishes motivation for the general theory of noncompact symmetric spaces, which is outlined in the final chapter. The book emphasizes motivation and comprehensibility, concrete examples and explicit computations (by pen and paper, and by computer), history, and, above all, applications in mathematics, statistics, physics, and engineering. The second edition includes new sections on Donald St. P. Richards's central limit theorem for O(n)-invariant random variables on the symmetric space of GL(n, R), on random matrix theory, and on advances in the theory of automorphic forms on arithmetic groups.
Other form:Printed edition: 9781493934065
Standard no.:10.1007/978-1-4939-3408-9

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