This article is cited in 6 papers

Exponentially decaying wavelets with uncertainty constants uniformly bounded with respect to the smoothness parameter

E. A. Lebedeva

Kursk State University

Abstract: We construct a family of wavelet functions whose scaling functions decay exponentially and have uncertainty constants uniformly bounded with respect to the smoothness parameter.

Keywords: wavelet, scaling function, mask, Meyer wavelet, Fourier series, de la Vallée-Poussin averages, uncertainty constant.

UDC: 517.5

Received: 19.01.2007
Revised: 01.10.2007

 English version: Siberian Mathematical Journal, 2008, 49:3, 457–473

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