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
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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 |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 01 Apr 2015 11:29 |
Last Modified: | 22 Mar 2018 12:26 |
Published Version: | http://dx.doi.org/10.15352/bjma/1396640061 |
Status: | Published |
Publisher: | Tusi Mathematical Research Group |
Identification Number: | https://doi.org/10.15352/bjma/1396640061 |
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