Spaces of Generalised Smoothness in Summability Problems for Φ− Means of Spectral Decomposition

Tsegaye Gedif Ayele; Mikhail L’vovich Goldman

Spaces of Generalised Smoothness in Summability Problems for Φ− Means of Spectral Decomposition

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Authors

Tsegaye Gedif Ayele
Mikhail L’vovich Goldman

Keywords:

spectral decompositions, summation method, principle of localization, spaces of generalised smoothness

Abstract

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.

Published

2014-03-30

How to Cite

Ayele, T. G., & Goldman, M. L. (2014). Spaces of Generalised Smoothness in Summability Problems for Φ− Means of Spectral Decomposition. Eurasian Mathematical Journal, 5(1), 61–81. Retrieved from https://emj.enu.kz/index.php/main/article/view/562