Email this article Generalized Localization Principle for Continuous Wavelet Decompositions
- Authors: Ashurov R.R.1, Faiziev Y.É.1
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Affiliations:
- Ulugbek National University of Uzbekistan
- Issue: Vol 106, No 5-6 (2019)
- Pages: 857-863
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151880
- DOI: https://doi.org/10.1134/S0001434619110208
- ID: 151880
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Abstract
Spherically symmetric continuous wavelet decompositions are considered, and the notion of Riesz means is introduced for them. Generalized localization is proved for the decompositions under study in Lp classes without any restrictions on the wavelets. Further, generalized localization is studied for the Riesz means of wavelet decompositions of distributions from the Sobolev class with negative order of smoothness.
About the authors
R. R. Ashurov
Ulugbek National University of Uzbekistan
Author for correspondence.
Email: ashurovr@gmail.com
Uzbekistan, Tashkent, 100174
Yu. É. Faiziev
Ulugbek National University of Uzbekistan
Author for correspondence.
Email: fayziev.yusuf@mail.ru
Uzbekistan, Tashkent, 100174
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