One-parameter Groups of Operators and Discrete Hilbert Transforms

Canadian mathematical bulletin

Gohin Shaikh Samad¹  Laura De Carli² 

[1] Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242-1419, USA;Department of Mathematics, Florida International University, Miami, FL 33199, USA

关键词: discrete Hilbert transform;    groups of operators;    isometries;   

DOI  :  10.4153/CMB-2016-028-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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

【 授权许可】

Unknown