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