Calculus of Operators: Covariant Transform and Relative Convolutions

Calculus of Operators: Covariant Transform and Relative Convolutions

This paper outlines a covariant theory of operators related to groups and homogeneous spaces. A methodical use of groups and their representations allows to obtain results of algebraic and analytical nature. The consideration is systematically illustrated by a representative collection of examples.

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Veröffentlicht in:Banach journal of mathematical analysis 2014-01, Vol.8 (2), p.156-184
1. Verfasser: Kisil, Vladimir V
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Calculus
Collection
Convolution
Mathematical analysis
Operators
Representations
Transforms
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Beschreibung
Zusammenfassung:This paper outlines a covariant theory of operators related to groups and homogeneous spaces. A methodical use of groups and their representations allows to obtain results of algebraic and analytical nature. The consideration is systematically illustrated by a representative collection of examples.
ISSN:1735-8787
1735-8787
DOI:10.15352/bjma/1396640061