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Search: All articles in the CMB digital archive with keyword Hilbert transform

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1. CMB 2016 (vol 59 pp. 497)

De Carli, Laura; Samad, Gohin Shaikh
One-parameter Groups of Operators and Discrete Hilbert Transforms
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
Categories:42A45, 42A50, 41A44

2. CMB 2006 (vol 49 pp. 203)

Çömez, Doğan
The Ergodic Hilbert Transform for Admissible Processes
It is shown that the ergodic Hilbert transform exists for a class of bounded symmetric admissible processes relative to invertible measure preserving transformations. This generalizes the well-known result on the existence of the ergodic Hilbert transform.

Keywords:Hilbert transform, admissible processes
Categories:28D05, 37A99

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