Title : ( Quaternionic continuous wavelet transform on a quaternionic Hilbert space )
Authors: Massoumeh Fashandi ,
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Abstract
In this paper we consider the new concept of the quaternionic unitary representation of a locally compact group to the unitary group of a quaternionic Hilbert space, and study its properties. Also, we establish a continuous wavelet transform by means of a special case of such representations to extend the continuous wavelet transform related to semidirect product groups. The results may be useful in development of wavelet theory.
Keywords
, Quaternionic Hilbert space, Unitary representation, Continuous wavelet transform
@article{paperid:1064116,
author = {Fashandi, Massoumeh},
title = {Quaternionic continuous wavelet transform on a quaternionic Hilbert space},
journal = {Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas},
year = {2018},
volume = {112},
number = {4},
month = {September},
issn = {1578-7303},
pages = {1049--1057},
numpages = {8},
keywords = {Quaternionic Hilbert space; Unitary representation; Continuous wavelet transform},
}
%0 Journal Article
%T Quaternionic continuous wavelet transform on a quaternionic Hilbert space
%A Fashandi, Massoumeh
%J Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas
%@ 1578-7303
%D 2018
