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

Title : ( AN ABSTRACT APPROACH TO SHIFT INVARIANT SPACES )

Authors: Reihaneh Raisi Tousi , Rajab Ali Kamyabi Gol ,

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This paper develops several aspects of shift invariant spaces on locally compact abelian groups. For a second countable locally compact abelian group G we prove a useful Hilbert space isomorphism, introduce range functions and give a characterization of shift invariant subspaces of L2(G) in terms of range functions. Utilizing these functions, we generalize characterizations of frames and Riesz bases generated by shifts of a countable set of generators from L2(Rn) to L2(G

Keywords

, second countable locally compact abelian group, shift invariant space, range function, frame, Riesz
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@inproceedings{paperid:1018509,
author = {Raisi Tousi, Reihaneh and Kamyabi Gol, Rajab Ali},
title = {AN ABSTRACT APPROACH TO SHIFT INVARIANT SPACES},
booktitle = {the Third International Conference of Mathematics},
year = {2010},
location = {حلب},
keywords = {second countable locally compact abelian group; shift invariant space; range function; frame; Riesz family.},
}

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%0 Conference Proceedings
%T AN ABSTRACT APPROACH TO SHIFT INVARIANT SPACES
%A Raisi Tousi, Reihaneh
%A Kamyabi Gol, Rajab Ali
%J the Third International Conference of Mathematics
%D 2010

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