Infinite matrices, wavelet coefficients and frames
We study the action of A on f∈L2(ℝ) and on its wavelet coefficients, where A=(almjk)lmjk is a double infinite matrix. We find the frame condition for A-transform of f∈L2(ℝ) whose wavelet series expansion is known.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204312457 |
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Article |
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doaj-01c18a2b08f04f11b646c0e59bb3745a2020-11-25T00:11:24ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004673695370210.1155/S0161171204312457Infinite matrices, wavelet coefficients and framesN. A. Sheikh0M. Mursaleen1Department of Mathematics, National Institute of Technology, Srinagar, Kashmir 190006, Jammu and Kashmir, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, IndiaWe study the action of A on f∈L2(ℝ) and on its wavelet coefficients, where A=(almjk)lmjk is a double infinite matrix. We find the frame condition for A-transform of f∈L2(ℝ) whose wavelet series expansion is known.http://dx.doi.org/10.1155/S0161171204312457 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
N. A. Sheikh M. Mursaleen |
| spellingShingle |
N. A. Sheikh M. Mursaleen Infinite matrices, wavelet coefficients and frames International Journal of Mathematics and Mathematical Sciences |
| author_facet |
N. A. Sheikh M. Mursaleen |
| author_sort |
N. A. Sheikh |
| title |
Infinite matrices, wavelet coefficients and frames |
| title_short |
Infinite matrices, wavelet coefficients and frames |
| title_full |
Infinite matrices, wavelet coefficients and frames |
| title_fullStr |
Infinite matrices, wavelet coefficients and frames |
| title_full_unstemmed |
Infinite matrices, wavelet coefficients and frames |
| title_sort |
infinite matrices, wavelet coefficients and frames |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2004-01-01 |
| description |
We study the action of A on f∈L2(ℝ) and on its wavelet coefficients, where A=(almjk)lmjk is a double infinite matrix. We find the frame condition for A-transform of f∈L2(ℝ) whose wavelet series expansion is known. |
| url |
http://dx.doi.org/10.1155/S0161171204312457 |
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AT nasheikh infinitematriceswaveletcoefficientsandframes AT mmursaleen infinitematriceswaveletcoefficientsandframes |
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