Harmonic Analysis in Hypercomplex Systems

Name: Harmonic Analysis in Hypercomplex Systems
Brand: Springer Netherlands
SKU: 9789048150229
Price: 553.98 RON
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Autor: Yu.M. Berezansky, A.A. Kalyuzhnyi

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Editura: Springer Netherlands

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This monograph is devoted to the theory of hypercomplex systems with locally compact basis. Such sys...

Informații despre carte

Autor

Yu.M. Berezansky, A.A. Kalyuzhnyi

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

486

EAN

9789048150229

ISBN

9048150221

Enbook ID

01973820

Editura

Springer Netherlands

Greutate

692

Dimensiuni

157 x 235 x 25

Descriere completă

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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