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.
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This work is partially financed by NSC under 87-2115-M277-001
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Wang, K.C. Necessary and sufficient conditions for expansions of Wilson type. Acta. Math. Sin.-English Ser. 24, 1107–1116 (2008). https://doi.org/10.1007/s10114-007-6136-6
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DOI: https://doi.org/10.1007/s10114-007-6136-6