Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614171 | Journal of Mathematical Analysis and Applications | 2016 | 7 Pages |
Abstract
For any prime p, we prove the existence of non-compactly supported orthogonal p -adic wavelet bases in the Hilbert space L2(Qp)L2(Qp), and construct the first explicit example of such a basis. The reasons are based on a special parametrization of the set of eigen standard Haar vector-functions. It should be noted that all previously known orthogonal p-adic wavelet bases were modifications of the p-adic Haar basis.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
S. Evdokimov,