Name: harmonic analysis in hypercomplex systems
Price: 98.66 EUR
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Author: kalyuzhnyi,berezansky
ISBN: 9780792350293

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portada harmonic analysis in hypercomplex systems

harmonic analysis in hypercomplex systems

Type

Physical Book

Publisher

Springer

Author

kalyuzhnyi,berezansky

Language

English

Pages

496

ISBN

0792350294

ISBN13

9780792350293

Synopsis "harmonic analysis in hypercomplex systems"

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.