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Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
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Catalogue Information
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Details
Dewey Class
515.785
Title
Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations ([EBook]) / by Audrey Terras.
Author
Terras, Audrey
Other name(s)
SpringerLink (Online service)
Edition statement
2nd ed. 2016.
Publication
New York, NY : : Springer New York : : Imprint: Springer, , 2016.
Physical Details
XV, 487 p. 41 illus., 21 illus. in color. : online resource.
ISBN
9781493934089
Summary Note
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.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4939-3408-9
Links to Related Works
Subject References:
Abstract Harmonic Analysis
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Applications of Mathematics
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Applied mathematics
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Combinatorics
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Engineering mathematics
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Geometry
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Harmonic analysis
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Mathematics
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Number Theory
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Statistical Theory and Methods
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Statistics
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Authors:
Terras, Audrey
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Corporate Authors:
SpringerLink (Online service)
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Classification:
515.785
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