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A Generalization of a Fundamental System of Functions of the Laplace Operator

โœ Scribed by M. A. Soldatova


Book ID
110388992
Publisher
Springer
Year
2001
Tongue
English
Weight
143 KB
Volume
37
Category
Article
ISSN
0012-2661

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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.