Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11010194 | Applied and Computational Harmonic Analysis | 2019 | 17 Pages |
Abstract
Let qâ¥2 be an integer, and Fqd, dâ¥1, be the vector space over the cyclic space Fq. The purpose of this paper is two-fold. First, we obtain sufficient conditions on EâFqd such that the inverse Fourier transform of 1E generates a tight wavelet frame in L2(Fqd). We call these sets (tight) wavelet frame sets. The conditions are given in terms of multiplicative and translational tilings, which is analogous with Theorem 1.1 ([20]) by Wang in the setting of finite fields. In the second part of the paper, we exhibit a constructive method for obtaining tight wavelet frame sets in Fqd, dâ¥2, q an odd prime and qâ¡3 (mod 4).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Alex Iosevich, Chun-Kit Lai, Azita Mayeli,