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Harmonic Analysis in Hypercomplex Systems Book

Harmonic Analysis in Hypercomplex Systems
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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 oper, Harmonic Analysis in Hypercomplex Systems
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  • Harmonic Analysis in Hypercomplex Systems
  • Written by author Yu.M. Berezansky
  • Published by Springer-Verlag New York, LLC, 12/7/2010
  • 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 oper
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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.


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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 oper, Harmonic Analysis in Hypercomplex Systems

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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 oper, Harmonic Analysis in Hypercomplex Systems

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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 oper, Harmonic Analysis in Hypercomplex Systems

Harmonic Analysis in Hypercomplex Systems

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