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On criteria for periodic wavelet frame
- Publication Year :
- 2024
-
Abstract
- We provide constructive necessary and sufficient conditions for a family of periodic wavelets to be a Parseval wavelet frame. The criterion generalizes unitary and oblique extension principles. The case of one wavelet generator and refinable functions being trigonometric polynomials is discussed in details.<br />Comment: 21 pages
- Subjects :
- Mathematics - Classical Analysis and ODEs
42C15, 42C40
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2409.01165
- Document Type :
- Working Paper