Title: On Hilbert transform in context of locally compact abelian groups
Authors: Mirotin, A.R.
Keywords: Hilbert transform
conjugate function
M. Riesz's inequality
Toeplitz operator
locally compact Abelian group
semigroup
Issue Date: 2009
Citation: Mirotin, A.R. On Hilbert transform in context of locally compact abelian groups / A.R. Mirotin // International Journal of Pure and Applied Mathematics. - 2009. - Vol. 51. - № 4. - P. 463-474.
Abstract: The aim of the paper is to obtain generalizations of M. Riesz's Theorem on the Hilbert transform to compact and locally compact Abelian groups with some fixed subsemigroup of the dual group. Application to generalized Toeplitz operators is given.
URI: http://elib.gsu.by/jspui/handle/123456789/41071
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