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One-parameter Groups of Operators and Discrete Hilbert Transforms

  Published:2016-05-20
 Printed: Sep 2016
  • Laura De Carli,
    Department of Mathematics, Florida International University, Miami, FL 33199, USA
  • Gohin Shaikh Samad,
    Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242-1419, USA
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Abstract

We show that the discrete Hilbert transform and the discrete Kak-Hilbert transform are infinitesimal generator of one-parameter groups of operators in $\ell^2$.
Keywords: discrete Hilbert transform, groups of operators, isometries discrete Hilbert transform, groups of operators, isometries
MSC Classifications: 42A45, 42A50, 41A44 show english descriptions Multipliers
Conjugate functions, conjugate series, singular integrals
Best constants
42A45 - Multipliers
42A50 - Conjugate functions, conjugate series, singular integrals
41A44 - Best constants
 

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