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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Harmonic analysis on symmetric spacesby Audrey Terras.
Reminder of title:	higher rank spaces, positive definite matrix space and generalizations /
Author:	Terras, Audrey.
Published:	New York, NY :Springer New York :2016.
Description:	xv, 487 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Harmonic analysis.
Online resource:	http://dx.doi.org/10.1007/978-1-4939-3408-9
ISBN:	9781493934089$q(electronic bk.)

Harmonic analysis on symmetric spaceshigher rank spaces, positive definite matrix space and generalizations /
Terras, Audrey.

Harmonic analysis on symmetric spaceshigher rank spaces, positive definite matrix space and generalizations /[electronic resource] :by Audrey Terras. - 2nd ed. - New York, NY :Springer New York :2016. - xv, 487 p. :ill. (some col.), digital ;24 cm.

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.

ISBN: 9781493934089$q(electronic bk.)

Standard No.: 10.1007/978-1-4939-3408-9doiSubjects--Topical Terms:

189705
Harmonic analysis.

LC Class. No.: QA403

Dewey Class. No.: 515.2433

Harmonic analysis on symmetric spaceshigher rank spaces, positive definite matrix space and generalizations /
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520 $a 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.
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