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Normalized system of functions with respect to the Laplace operator and its applications

✍ Scribed by V.V. Karachik

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
223 KB
Volume
287
Category
Article
ISSN
0022-247X

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✦ Synopsis

A system of functions 0-normalized with respect to the operator βˆ† in some domain Ω βŠ‚ 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.

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Integral Representation of Additive Oper
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During the last years representation theory of additive operators on spaces of measurable functions has been of interest for many writers. L. DREWNOWSKI, W. ORLICZ ([4], [5]), and V. MIZEL ([19], [20]) considered scalar valued operators (functionalu) on various function spaces, then in a subsequent