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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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171297000914 |
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| _version_ | 1832549351713406976 |
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| author | John Schmeelk Arpad Takaci |
| author_facet | John Schmeelk Arpad Takaci |
| author_sort | John Schmeelk |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-07f1c3d21aa34bbdb45cd9193509e9e1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-07f1c3d21aa34bbdb45cd9193509e9e12025-02-03T06:11:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120465767210.1155/S0161171297000914Wavelet transforms in generalized Fock spacesJohn Schmeelk0Arpad Takaci1Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, Virginia 23284-201, USAInstitute of Mathematics, University of Novi Sad, TRG D. OBRADOVIĆA 4, Novi Sad 21000 , SerbiaA 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.http://dx.doi.org/10.1155/S0161171297000914generalized fock functionalwaveletsbounded intersection propertygeneralized wavelet transforms. |
| spellingShingle | John Schmeelk Arpad Takaci Wavelet transforms in generalized Fock spaces International Journal of Mathematics and Mathematical Sciences generalized fock functional wavelets bounded intersection property generalized wavelet transforms. |
| title | Wavelet transforms in generalized Fock spaces |
| title_full | Wavelet transforms in generalized Fock spaces |
| title_fullStr | Wavelet transforms in generalized Fock spaces |
| title_full_unstemmed | Wavelet transforms in generalized Fock spaces |
| title_short | Wavelet transforms in generalized Fock spaces |
| title_sort | wavelet transforms in generalized fock spaces |
| topic | generalized fock functional wavelets bounded intersection property generalized wavelet transforms. |
| url | http://dx.doi.org/10.1155/S0161171297000914 |
| work_keys_str_mv | AT johnschmeelk wavelettransformsingeneralizedfockspaces AT arpadtakaci wavelettransformsingeneralizedfockspaces |