Covariant Transform

Abstract

The paper develops theory of covariant transform, which is inspired by the wavelet construction. It was observed that many interesting types of wavelets (or coherent states) arise from group representations which are not square integrable or vacuum vectors which are not admissible. Covariant transform extends an applicability of the popular wavelets construction to classic examples like the Hardy space H2, Banach spaces, covariant functional calculus and many others.

Metadata

Authors/Creators:	Kisil, VV https://orcid.org/0000-0002-6593-6147
Keywords:	Wavelets; coherent states; group representations; Hardy space; Littlewood– Paley operator; functional calculus; Berezin calculus; Radon transform; Möbius map; maximal function; affine group; special linear group; numerical range; characteristic function; functional model
Dates:	Published: 5 April 2011
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:	24 May 2019 13:04
Last Modified:	24 May 2019 13:04
Published Version:	https://iopscience.iop.org/issue/1742-6596/284/1
Status:	Published
Publisher:	Institute of Physics (IoP)
Identification Number:	https://doi.org/10.1088/1742-6596/284/1/012038
Related URLs:	Author

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Covariant Transform

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