Generalized Localization Principle for Continuous Wavelet Decompositions
- Авторлар: Ashurov R.R.1, Faiziev Y.É.1
-
Мекемелер:
- Ulugbek National University of Uzbekistan
- Шығарылым: Том 106, № 5-6 (2019)
- Беттер: 857-863
- Бөлім: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151880
- DOI: https://doi.org/10.1134/S0001434619110208
- ID: 151880
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
R. Ashurov
Ulugbek National University of Uzbekistan
Хат алмасуға жауапты Автор.
Email: ashurovr@gmail.com
Өзбекстан, Tashkent, 100174
Yu. Faiziev
Ulugbek National University of Uzbekistan
Хат алмасуға жауапты Автор.
Email: fayziev.yusuf@mail.ru
Өзбекстан, Tashkent, 100174
Қосымша файлдар
