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One-parameter Groups of Operators and Discrete Hilbert Transforms

Published online by Cambridge University Press:  20 November 2018

Laura De Carli  and
Gohin Shaikh Samad
Laura De Carli
Affiliation:
Department of Mathematics, Florida International University, Miami, FL 33199, USA e-mail: decarlil@fiu.edu
Gohin Shaikh Samad
Affiliation:
Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242-1419, USA e-mail: shaikhgohin-samad@uiowa.com
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Abstract

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We show that the discrete Hilbert transform and the discrete Kak–Hilbert transform are infinitesimal generators of one-parameter groups of operators in ${{\ell }^{2}}$.

Keywords

42A4542A5041A44discrete Hilbert transformgroups of operatorsisometries
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 3 , 01 September 2016 , pp. 497 - 507
Copyright
Copyright © Canadian Mathematical Society 2016

References

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