Document Type

Article

Original Publication Date

1997

Journal/Book/Conference Title

International Journal of Mathematics and Mathematical Sciences

Volume

20

Issue

4

DOI of Original Publication

10.1155/S0161171297000914

Comments

Originally published at

http://dx.doi.org/10.1155/S0161171297000914

Date of Submission

August 2014

Abstract

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 [9] based upon earlier work of Mikusinski and Taylor [10]. 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.

Rights

Copyright © 1997 Hindawi Publishing Corporation. 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.

Is Part Of

VCU Mathematics and Applied Mathematics Publications

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