Normalized system of functions with respect to the Laplace operator and its applications. (Q1417988)
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scientific article; zbMATH DE number 2022078
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normalized system of functions with respect to the Laplace operator and its applications. |
scientific article; zbMATH DE number 2022078 |
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Normalized system of functions with respect to the Laplace operator and its applications. (English)
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6 January 2004
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The author constructs an explicit formula for a ``0-normalized'' system of functions with respect to the Laplace operator in some bounded domain \(\Omega \subset \mathbb R^n\) possessing a starlike property. He applies this system to the investigation of the Riquier problem and the Helmholtz equation.
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normalized systems
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Helmholtz equation
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polyharmonic functions
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