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Covariant Transforms on Locally Convex Spaces

Albargi, Amer Hassan A. (2015) Covariant Transforms on Locally Convex Spaces. PhD thesis, University of Leeds.

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Abstract

In this thesis we are concerned with the study of covariant transform which generalizes the idea of wavelets transform on Hilbert and Banach spaces. The properties of covariant transform on Locally convex spaces like continuity and boundedness are studied. We illustrate the general theory by consideration the ax+b group in details. This example has a close relation to various techniques in harmonic analysis. Moreover, some properties of the image space W_FV is discussed. The properties of the contravariant transform on locally convex spaces are investigated as well. Also, various examples of covariant and contravariant transforms are introduced.

Item Type: Thesis (PhD)
Keywords: Covariant transform, wavelets, coorbit spaces, ax+b group, contravariant transform and locally convex spaces.
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds)
Identification Number/EthosID: uk.bl.ethos.680938
Depositing User: Mr AMER HASSAN A ALBARGI
Date Deposited: 23 Mar 2016 11:59
Last Modified: 26 Apr 2016 15:44
URI: http://etheses.whiterose.ac.uk/id/eprint/12308

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