Generalized Localization Principle for Continuous Wavelet Decompositions
Ravshan Ashurov, Yusuf Fayziev · Mathematical Notes · 2019
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 L p 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.