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Non-Abelian Harmonic Analysis - Applications of SL (2,?) (Paperback, Softcover reprint of the original 1st ed. 1992)
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Non-Abelian Harmonic Analysis - Applications of SL (2,?) (Paperback, Softcover reprint of the original 1st ed. 1992)
Series: Universitext
Expected to ship within 10 - 15 working days
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This book mainly discusses the representation theory of the special
linear group 8L(2, 1R), and some applications of this theory. In
fact the emphasis is on the applications; the working title of the
book while it was being writ ten was "Some Things You Can Do with
8L(2). " Some of the applications are outside representation
theory, and some are to representation theory it self. The topics
outside representation theory are mostly ones of substantial
classical importance (Fourier analysis, Laplace equation, Huyghens'
prin ciple, Ergodic theory), while the ones inside representation
theory mostly concern themes that have been central to
Harish-Chandra's development of harmonic analysis on semisimple
groups (his restriction theorem, regularity theorem, character
formulas, and asymptotic decay of matrix coefficients and
temperedness). We hope this mix of topics appeals to nonspecialists
in representation theory by illustrating (without an interminable
prolegom ena) how representation theory can offer new perspectives
on familiar topics and by offering some insight into some important
themes in representation theory itself. Especially, we hope this
book popularizes Harish-Chandra's restriction formula, which,
besides being basic to his work, is simply a beautiful example of
Fourier analysis on Euclidean space. We also hope representation
theorists will enjoy seeing examples of how their subject can be
used and will be stimulated by some of the viewpoints offered on
representation-theoretic issues."
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Universitext |
Release date: |
February 1992 |
First published: |
1992 |
Authors: |
Roger E. Howe
• Eng-chye Tan
|
Dimensions: |
235 x 155 x 14mm (L x W x T) |
Format: |
Paperback
|
Pages: |
259 |
Edition: |
Softcover reprint of the original 1st ed. 1992 |
ISBN-13: |
978-0-387-97768-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
|
LSN: |
0-387-97768-6 |
Barcode: |
9780387977683 |
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