Necessary and sufficient conditions for expansions of Wilson type |
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| Authors: | Kun Chuan Wang |
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| Institution: | (1) Department of Mathematics, National Hualien University of Education, Hua-Lien, Taiwan, 970-03, China |
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| Abstract: | We consider expansions of the type arising from Wilson bases. We characterize such expansions for L
2(ℝ). As an application, we see that such an expansion must be orthonormal, in contrast to the case of wavelet expansions generated
by translations and dilation.
This work is partially financed by NSC under 87-2115-M277-001 |
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| Keywords: | Gabor expansion orthogonality wavelet expansion Wilson expansion |
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