Proceedings of the American Mathematical Society

Author(s): Ziemowit Rzeszotnik; Darrin Speegle
Journal: Proc. Amer. Math. Soc. 130 (2002), 2921-2930.
MSC (2000): Primary 42C40
Posted: May 8, 2002
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Abstract: We show that any wavelet, with the support of its Fourier transform small enough, can be interpolated from a pair of wavelet sets. In particular, the support of the Fourier transform of such wavelets must contain a wavelet set, answering a special case of an open problem of Larson. The interpolation procedure, which was introduced by X. Dai and D. Larson, allows us also to prove the extension property.

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Ziemowit Rzeszotnik
Affiliation: Institute of Mathematics, University of Wroclaw, pl Grunwaldzki 2/4, 50-384 Wroclaw, Poland
Email: zioma@math.uni.wroc.pl

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