Wavelet transforms in generalized Fock spaces
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 in...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000914 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |