Geodesic
One-parameter Groups of Operators and Discrete Hilbert Transforms
Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 497-507

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DOI

We show that the discrete Hilbert transform and the discrete Kak–Hilbert transform are infinitesimal generators of one-parameter groups of operators in ${{\ell }^{2}}$ .
DOI : 10.4153/CMB-2016-028-7
Mots-clés : 42A45, 42A50, 41A44, discrete Hilbert transform, groups of operators, isometries 
Carli, Laura De; Samad, Gohin Shaikh. One-parameter Groups of Operators and Discrete Hilbert Transforms. Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 497-507. doi: 10.4153/CMB-2016-028-7
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     author = {Carli, Laura De and Samad, Gohin Shaikh},
     title = {One-parameter {Groups} of {Operators} and {Discrete} {Hilbert} {Transforms}},
     journal = {Canadian mathematical bulletin},
     pages = {497--507},
     year = {2016},
     volume = {59},
     number = {3},
     doi = {10.4153/CMB-2016-028-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-028-7/}
}
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