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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Non-Abelian Harmonic Analysis
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Non-Abelian Harmonic Analysis
Roger E. Howe, Eng Chye Tan (Broschiert, Englisch)
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Beschreibung
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. 80,24 €
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Technische Daten
Erscheinungsdatum
27.02.1992
Sprache
Englisch
EAN
9780387977683
Herausgeber
Springer US
Serien- oder Bandtitel
Universitext
Sonderedition
Nein
Autor
Roger E. Howe, Eng Chye Tan
Seitenanzahl
259
Einbandart
Broschiert
Buch Untertitel
Applications of SL (2,?)
Schlagwörter
Fourier analysis, Lie, Matrix, algebra, classification, eigenvector, equation, ergodic theory, group, lie algebra, presentation, representation theory, symmetric relation, themes, theorem
Thema-Inhalt
PBG - Gruppen und Gruppentheorie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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