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Generalized localization of Fourier series with respect to the eigenfunctions of the Laplace operator in the classes Lp

โœ Scribed by A. Bastis


Publisher
Springer
Year
1992
Tongue
English
Weight
853 KB
Volume
31
Category
Article
ISSN
0363-1672

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Normalized system of functions with resp
โœ V.V. Karachik ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 223 KB

A system of functions 0-normalized with respect to the operator โˆ† in some domain โ„ฆ โŠ‚ R n is constructed. Application of this system to boundary value problems for the polyharmonic equation is considered. Connection between harmonic functions and solutions of the Helmholtz equation is investigated.