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.

Авторы
Ayele T.G.1 , Goldman M.L. 2
Издательство
Eurasian Mathematical Journal
Номер выпуска
1
Язык
Английский
Страницы
61-81
Статус
Опубликовано
Том
5
Год
2014
Организации
  • 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
Ключевые слова
Principle of localization; Spaces of generalised smoothness; Spectral decompositions; Summation method
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