سی و نهمین کنفرانس ریاضی ایران , 2009-12-08

Title : ( phi Factorable Operators )

Authors: Rajab Ali Kamyabi Gol , Reihaneh Raisi Tousi ,

Citation: BibTeX | EndNote

This paper is an investigation of -factorable operators and Weyl- Heisenberg frames with respect to a function-valued inner product, the so called -bracket product on L2(G), where G is a locally compact abelian group and is a topological isomorphism on G. We introduce -factorable operators on L2(G) and extend Riesz Representation Theorems for these operators. Finally as an application of the -bracket product, we show that several well known theorems for Weyl-Heisenberg frames in L2(R) remain valid in L2(G), and they are uni ed under the aspects of group theory, in connection with the -bracket product.

Keywords

, bracket product, -factorable operator, Weyl-Heisenberg Frame, locally compact abelian group
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@inproceedings{paperid:1014371,
author = {Kamyabi Gol, Rajab Ali and Raisi Tousi, Reihaneh},
title = {phi Factorable Operators},
booktitle = {سی و نهمین کنفرانس ریاضی ایران},
year = {2009},
location = {کرمان, IRAN},
keywords = {bracket product; -factorable operator; Weyl-Heisenberg Frame; locally compact abelian group .},
}

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%0 Conference Proceedings
%T phi Factorable Operators
%A Kamyabi Gol, Rajab Ali
%A Raisi Tousi, Reihaneh
%J سی و نهمین کنفرانس ریاضی ایران
%D 2009

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