Bulletin of the Iranian Mathematical Society, ( ISI ), Volume (37), No (1), Year (2011-5) , Pages (101-113)

Title : ( varphi -Factorable Operators and Weyl-Heisenberg Frames on LCA groups )

Authors: Rajab Ali Kamyabi Gol , Reihaneh Raisi Tousi ,

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We investigate varphi -factorable operators and Weyl-Heise- nberg frames with respect to a function-valued inner product, the so called varphi -bracket product on L^2(G) , where G is a locally compact abelian group and varphi is a topological isomorphism on G . We introduce varphi -factorable operators on L^2(G) and extend the Riesz Representation Theorems for these operators. Finally, as an application of the varphi -bracket product, we show that several well known theorems for Weyl-Heisenberg frames in L^2( mathbb{R}) remain valid in L^2(G) , and they are unified within of group theory, in connection with the varphi -bracket product.

Keywords

, Bracket product, varphi -factorable operator, Weyl-Heisenberg Frame, locally compact abelian
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@article{paperid:1022185,
author = {Kamyabi Gol, Rajab Ali and Raisi Tousi, Reihaneh},
title = {varphi -Factorable Operators and Weyl-Heisenberg Frames on LCA groups},
journal = {Bulletin of the Iranian Mathematical Society},
year = {2011},
volume = {37},
number = {1},
month = {May},
issn = {1735-8515},
pages = {101--113},
numpages = {12},
keywords = {Bracket product; varphi -factorable operator; Weyl-Heisenberg Frame; locally compact abelian group},
}

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%0 Journal Article
%T varphi -Factorable Operators and Weyl-Heisenberg Frames on LCA groups
%A Kamyabi Gol, Rajab Ali
%A Raisi Tousi, Reihaneh
%J Bulletin of the Iranian Mathematical Society
%@ 1735-8515
%D 2011

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