Harmonic analysis in hypercomplex systems

✍ Scribed by Berezansky Yu.M., Kalyuzhnyi A.A

Publisher: Springer;Kluwer Academic
Year: 1998
Tongue: English
Leaves: 494
Series: Mathematics and Its Applications 434
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Preface. Introduction. 1: General Theory of Hypercomplex Systems. 1. Fundamental Concepts of the Theory of Hypercomplex Systems with Locally Compact Basis. 2. Hypercomplex Systems and Related Objects. 3. Elements of Harmonic Analysis for Normal Hypercomplex Systems with Basis Unity. 4. Hypercomplex Subsystems and Homomorphisms. 5. Further Generalizations of Hypercomplex Systems. 2: Examples of Hypercomplex Systems. 1. Centers of Group Algebras of Compact Groups. 2. Gelfand Pairs. 3. Orthogonal Polynomials. 4. Hypercomplex Systems Constructed for the Sturm-Liouville Equation. 3: Elements of Lie Theory for Generalized Translation Operators. 1. Basic Concepts. 2. Analog of Lie Theory for Some Classes of Generalized Translation Operators. 3. Duality of Generators of One-Dimensional Compact and Discrete Hypercomplex Systems. Supplement: Hypercomplex Systems and Hypergroups: Connections and Distinctions. Bibliographical Notes. References. Subject Index.

✦ Subjects

Numbers, Complex;Harmonic analysis

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