Harmonic Analysis in Hypercomplex Systems
Author:   Yu.M. Berezansky ,  A.A. Kalyuzhnyi
Publisher:   Springer
Edition:   1998 ed.
Volume:   434
ISBN:  

9780792350293


Pages:   486
Publication Date:   31 March 1998
Format:   Hardback
Availability:   In Print   Availability explained
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Harmonic Analysis in Hypercomplex Systems


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Overview

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 generalization of the notion of a hypergroup (a family of generalized shift operators) which was introduced in the 1970s. The book gives an 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.

Full Product Details

Author:   Yu.M. Berezansky ,  A.A. Kalyuzhnyi
Publisher:   Springer
Imprint:   Springer
Edition:   1998 ed.
Volume:   434
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   1.930kg
ISBN:  

9780792350293


ISBN 10:   0792350294
Pages:   486
Publication Date:   31 March 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. General Theory of Hypercomplex Systems.- 2. Examples of Hypercomplex Systems.- 3. Elements of Lie Theory for Generalized Translation Operators.- Bibliographical Notes.- References.

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