On the uniform convergence and basis property of the means of spectral expansions corresponding to elliptic pseudodifferential operators for continuous functions in the Liouville and Nikolskij-Besov classes

DOI10.1023/B:DIEQ.0000035783.04269.64zbMATH Open1084.35053MaRDI QIDQ1778281

Shakirbay G. Kasimov

Publication date: 17 June 2005

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

spectral expansionspectral functionRiesz meanselliptic positive selfadjoint pseudodifferential operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Pseudodifferential operators as generalizations of partial differential operators (35S05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Pseudodifferential operators (47G30)

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