Spaces of generalised smoothness in summability problems for Φ- means of spectral decomposition

We establish conditions for localization of generalised Riesz means of spectral decomposition by system of fundamental functions of Laplace operator in terms of belongingness of the decomposing function to the spaces of generalised smoothness. © The Eurasian National University.

Authors
Ayele T.G.1 , Goldman M.L. 2
Publisher
Eurasian Mathematical Journal
Number of issue
1
Language
English
Pages
61-81
Status
Published
Volume
5
Year
2014
Organizations
  • 1 Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia
  • 2 Department of nonlinear analysis and optimization, Peoples' Friendship University of Russia, 6 Miklukho-Maklaya, Moscow, 117198, Russian Federation
Keywords
Principle of localization; Spaces of generalised smoothness; Spectral decompositions; Summation method
Date of creation
19.10.2018
Date of change
17.03.2021
Short link
https://repository.rudn.ru/en/records/article/record/4987/
Share

Other records