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Harmonic Analysis in Hypercomplex Systems

Language EnglishEnglish
Book Paperback
Book Harmonic Analysis in Hypercomplex Systems Yu.M. Berezansky
Libristo code: 01973820
Publishers Springer Netherlands, November 2009
This monograph is devoted to the theory of hypercomplex systems with locally compact basis. Such sys... Full description
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This monograph is devoted to the theory of hypercomplex systems with locally compact basis. Such systems were introduced by Yu. Berezansky and S. Krein in the 1950s and are a generalisation of the notion of a hypergroup (a family of generalised shift operators) which was introduced in the 1970s. The book gives a state-of-the-art account of hypercomplex systems theory. After the introductory chapter, it treats the Lie theory of hypercomplex systems and examples. Topics covered include Fourier transforms, the Plancherel theorem, the Peter-Weyl theorem, representation theory, duality, Gelfand pairs, Sturm-Liouville operators, and Lie theory. New proofs of results concerning Tannaka-Krein duality and Gelfand pairs are given. On the basis of this theory, new approaches to the construction of harmonic analysis on well-known objects become possible. Audience: This volume will be of interest to researchers and graduate students involved in harmonic analysis and representation theory.

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About the book

Full name Harmonic Analysis in Hypercomplex Systems
Author Yu.M. Berezansky, A.A. Kalyuzhnyi
Language English
Binding Book - Paperback
Date of issue 2010
Number of pages 486
EAN 9789048150229
ISBN 9048150221
Libristo code 01973820
Publishers Springer Netherlands
Weight 692
Dimensions 157 x 235 x 25

Categories

Mathematics & Science > Mathematics > Calculus & mathematical analysis > Complex analysis, complex variables
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