Wavelet Frames on Generalized Vilenkin Groups
Wavelet systems on the generalized Vilenkin groups and their approximation properties are studied. An algorithmic method for constructing compactly supported tight wavelet frames is given. These results generalize similar studies for the classical Vilenkin groups, and, on the other hand, they are closely related to the recent investigations on the spaces of M-positive vectors.
Authors
- M. Skopina (ORCID: https://orcid.org/0000-0002-6683-3828)
- Miroslav Babushkin (ORCID: https://orcid.org/0000-0001-5498-0372)
Institutions
- National Research University Higher School of Economics (RU)
- Southern Federal University (RU)
- St Petersburg University (RU)
- Saint-Petersburg State University Information Technologies, Mechanic and Optics (RU)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1134/s1995080224607380
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00