Title : ( Frame of translates and FMRA on $L^2 (R,C^N)$ as a Hilbert M_N(C)-module )
Authors: hamide azarmi , Mohammad Janfada , Rajab Ali Kamyabi Gol ,
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Abstract
In this paper, we consider L2 (R,CN) as a Hilbert MN(C)-module. The frames of translates and frame multiresolution analysis on this space are studied. We characterize frames of translates on this space. Also, relations between the frames of translates of L2(R) and those of L2(R,CN) are investigated.
Keywords
, Hilbert module, frame on Hilbert module, frame multiresolution analysis
@article{paperid:1062568,
author = {Azarmi, Hamide and Janfada, Mohammad and Kamyabi Gol, Rajab Ali},
title = {Frame of translates and FMRA on $L^2 (R,C^N)$ as a Hilbert M_N(C)-module},
journal = {International Journal of Wavelets, Multiresolution and Information Processing},
year = {2017},
volume = {15},
number = {3},
month = {May},
issn = {0219-6913},
pages = {1--26},
numpages = {25},
keywords = {Hilbert module; frame on Hilbert module; frame multiresolution analysis},
}
%0 Journal Article
%T Frame of translates and FMRA on $L^2 (R,C^N)$ as a Hilbert M_N(C)-module
%A Azarmi, Hamide
%A Janfada, Mohammad
%A Kamyabi Gol, Rajab Ali
%J International Journal of Wavelets, Multiresolution and Information Processing
%@ 0219-6913
%D 2017
