Title : ( Multiresolustion Analysi )
Authors: Rajab Ali Kamyabi Gol , Reihaneh Raisi Tousi ,
Full TextAbstract
Conditions under which a function generates a multiresolution analysis are investigated. The definition of the spectral function of a shift invariant space is generalized from Rn to a locally compact abelian group and the union density and intersection triviality properties of a multiresolution analysis are characterized in terms of the spectral functions. Finally an alternative definition of a multiresolution analysis is obtained.
Keywords
, locally compact abelian group, multiresolution analysis, shift invariant space, spectral function, Parseval frame, range function
@inproceedings{paperid:1014368,
author = {Kamyabi Gol, Rajab Ali and Raisi Tousi, Reihaneh},
title = {Multiresolustion Analysi},
booktitle = {هیجدهمین سمینار آنالیر و کاربردهای آن},
year = {2009},
location = {تهران, IRAN},
keywords = {locally compact abelian group; multiresolution analysis; shift invariant
space; spectral function; Parseval frame; range function},
}
%0 Conference Proceedings
%T Multiresolustion Analysi
%A Kamyabi Gol, Rajab Ali
%A Raisi Tousi, Reihaneh
%J هیجدهمین سمینار آنالیر و کاربردهای آن
%D 2009
