International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 657-672
Wavelet transforms in generalized Fock spaces
1Department of Mathematical Sciences, Virginia Commonwealth University, Richmond 23284-201, Virginia, USA
2Institute of Mathematics, University of Novi Sad, TRG D. OBRADOVIĆA 4, Novi Sad 21000 , Serbia
Received 26 March 1996; Revised 27 May 1996
Copyright © 1997 John Schmeelk and Arpad Takači. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A generalized Fock space is introduced as it was developed by Schmeelk [1-5],
also Schmeelk and Takači [6-8]. The wavelet transform is then extended to this generalized
Fock space. Since each component of a generalized Fock functional is a generalized function,
the wavelet transform acts upon the individual entry much the same as was developed by
Mikusinski and Mort  based upon earlier work of Mikusinski and Taylor . It is then
shown that the generalized wavelet transform applied to a member of our generalized Fock
space produces a more appropriate functional for certain appfications.