Calculus of operators: covariant transform and relative convolutions
Kisil, VV
(2014)
Calculus of operators: covariant transform and relative convolutions.
Banach Journal of Mathematical Analysis, 8 (2).
156 - 184.
ISSN 1735-8787
Abstract
The 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.
Metadata
Item Type:
Article
Authors/Creators:
Kisil, VV
Copyright, Publisher and Additional Information:
(c) 2014, Tusi Mathematical Research Group . This is an author produced version of a paper published in Banach Journal of Mathematical Analysis. Uploaded in accordance with the publisher's self-archiving policy
Keywords:
Berezin symbol; Bergman space; Convolution; Covariant and contravariant transform; Deformation quantization; Fock-segal-bargmann (FSB) representation; Heisenberg group; Induced representation; Lie groups and algebras; Pseudo-differential operators (PDO); Reproducing kernel; Singular integral operator (SIO); SL2(R); Toeplitz operator
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