Wavelet transforms in generalized Fock spaces

John Schmeelk and Arpad Takaci

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-16

Abstract:

A generalized Fock space is introduced as it was developed by Schmeelk [1-5], also Schmeelk and TakaÄ i [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.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:826196

DOI: 10.1155/S0161171297000914

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