%0 Journal Article
%T The n-dimensional continuous wavelet transformation on Gelfand and Shilov type spaces
%A S. K. Upadhyay
%A R. N. Yadav
%A Lokenath Debnath
%J Surveys in Mathematics and its Applications
%D 2009
%I University Constantin Brancusi of Targu-Jiu
%X In this paper the wavelet transformationon Gelfand and Shilov spaces of type WM( n), W次(忖n) and WM次(忖n) is studied. It is shown that W肉耳 : WM( n) ↙ WM( n℅ +n), W肉耳 : W次(忖n) ↙W次(忖n℅ +n) and W肉耳 : WM次(忖n) ↙WM次(忖n℅ +n) is linear andcontinuous where  n and 忖n are n-dimensional realnumbers and complex numbers. A boundedness result in a generalized Sobolev space is derived.
%K Continuous wavelet transformation
%K Sobolev space
%K Fourier transformation
%K W-spaces.
%U http://www.utgjiu.ro/math/sma/v04/p18.pdf