Refinable functions with non-integer dilations

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Refinable Functions with Non-integer Dilations

Refinable functions and distributions with integer dilations have been studied extensively since the pioneer work of Daubechies on wavelets. However, very little is known about refinable functions and distributions with non-integer dilations, particularly concerning its regularity. In this paper we study the decay of the Fourier transform of refinable functions and distributions. We prove that ...

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2007

ISSN: 0022-1236

DOI: 10.1016/j.jfa.2007.02.005