Kisil, VV orcid.org/0000-0002-6593-6147 (2011) Covariant Transform. In: Journal of Physics : Conference Series. GROUP 28: Physical and Mathematical Aspects of Symmetry, 26-30 Jul 2010, Newcastle upon Tyne, UK. Institute of Physics (IoP)
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
Item Type: | Proceedings Paper |
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Authors/Creators: |
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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: |
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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: | 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: | 10.1088/1742-6596/284/1/012038 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111530 |