Journal article

Publication year: 2006

Pages: 155-166

Journal: Journal of Geometric Analysis

Volume number: 16

Issue number: 1

ISSN: 1050-6926

eISSN: 1559-002X

DOI Link: https://doi.org/10.1007/BF02930990

Publisher: Springer

Abstract: 
In this article we study finitely generated wavelet systems with arbitrary dilation sets. In 2002 Herrandez et al. gave a characterization of when such a system forms a Parseval frame, assuming that a certain hypothesis known as the local integrability condition (LIC) holds. We show that, under some mild regularity assumption on the wavelets, the LIC is solely a density condition on the dilation sets. Using this new interpretation of the LIC, we further discuss when the characterization result holds.

Harvard Citation style: Kutyniok, G. (2006) The local integrability condition for wavelet frames, Journal of Geometric Analysis, 16(1), pp. 155-166. https://doi.org/10.1007/BF02930990

APA Citation style: Kutyniok, G. (2006). The local integrability condition for wavelet frames. Journal of Geometric Analysis. 16(1), 155-166. https://doi.org/10.1007/BF02930990