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Harmonic analysis on symmetric spaces[electronic resource] :higher rank spaces, positive definite matrix space and generalizations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.2433
書名/作者:	Harmonic analysis on symmetric spaces : higher rank spaces, positive definite matrix space and generalizations // by Audrey Terras.
作者:	Terras, Audrey.
出版者:	New York, NY : : Springer New York :, 2016.
面頁冊數:	xv, 487 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Harmonic analysis.
標題:	Symmetric spaces.
標題:	Mathematics.
標題:	Abstract Harmonic Analysis.
標題:	Number Theory.
標題:	Geometry.
標題:	Combinatorics.
標題:	Applications of Mathematics.
標題:	Statistical Theory and Methods.
ISBN:	9781493934089
ISBN:	9781493934065
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-1-4939-3408-9

Harmonic analysis on symmetric spaces[electronic resource] :higher 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

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

217657
Harmonic analysis.

LC Class. No.: QA403

Dewey Class. No.: 515.2433

Harmonic analysis on symmetric spaces[electronic resource] :higher rank spaces, positive definite matrix space and generalizations /
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