the Third International Conference of Mathematics , 2010-12-15

عنوان : ( Riesz Representation Theorems for Factorable Operators )

نویسندگان: , ریحانه رئیسی طوسی , رجبعلی کامیابی گل ,
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چکیده

We introduce $\\\\\\\\varphi$-factorable operators on $L^2(G)$ and extend 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 under the aspects of group theory, in connection with the $\\\\\\\\varphi$-bracket product..

کلمات کلیدی

, bracket product, factorable operator, Weyl-Heisenberg
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@inproceedings{paperid:1018557,
author = { and رئیسی طوسی, ریحانه and کامیابی گل, رجبعلی},
title = {Riesz Representation Theorems for Factorable Operators},
booktitle = {the Third International Conference of Mathematics},
year = {2010},
location = {حلب, سوريه},
keywords = {bracket product; factorable operator; Weyl-Heisenberg Frame},
}

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%0 Conference Proceedings
%T Riesz Representation Theorems for Factorable Operators
%A
%A رئیسی طوسی, ریحانه
%A کامیابی گل, رجبعلی
%J the Third International Conference of Mathematics
%D 2010

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