Title : SOME EQUIVALENT MULTIRESOLUTION CONDITIONS ON LOCALLY COMPACT ABELIAN GROUPS ( Some equivalent multiresolution conditions on locally compact abelian groups )
Authors: Rajab Ali Kamyabi Gol , Reihaneh Raisi Tousi ,
Full TextAbstract
Abstract. Conditions under which a function generates a multiresolution analy- sis 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
Some equivalent multiresolution conditions on locally compact abelian groups
@inproceedings{paperid:1004203,
author = {Kamyabi Gol, Rajab Ali and Raisi Tousi, Reihaneh},
title = {SOME EQUIVALENT MULTIRESOLUTION CONDITIONS ON LOCALLY COMPACT ABELIAN GROUPS},
booktitle = {Harmonic Analysis and Approximations, IV},
year = {2008},
location = {Tsaghkadzor},
keywords = {Some equivalent multiresolution conditions on locally compact abelian groups},
}
%0 Conference Proceedings
%T SOME EQUIVALENT MULTIRESOLUTION CONDITIONS ON LOCALLY COMPACT ABELIAN GROUPS
%A Kamyabi Gol, Rajab Ali
%A Raisi Tousi, Reihaneh
%J Harmonic Analysis and Approximations, IV
%D 2008
