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.
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References
M.L. Goldman, T.G. Ayele, Spaces of generalised smoothness in problems of summability of spectral decompositions. All-Union Institute of Scientific and Technical Information, Russian Academy of Sciences 31.03.99 No. 1028-B99, Moscow
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Acknowledgement
This Research was supported by Humboldt Foundation Research Fellowship Grant No. 3.4-ATH/1144171 in the case of the first author.
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Ayele, T.G., Goldman, M.L. (2015). Spaces of Generalised Smoothness in Summability Problems for Φ-Means of Spectral Decomposition. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_20
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DOI: https://doi.org/10.1007/978-3-319-12577-0_20
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