Higher order Pizzetti's formulas (Q269594)
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scientific article; zbMATH DE number 6570508
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher order Pizzetti's formulas |
scientific article; zbMATH DE number 6570508 |
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Higher order Pizzetti's formulas (English)
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19 April 2016
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Summary: We introduce integral mean value functions which are averages of integral means over spheres/balls and over their images under the action of a discrete group of complex rotations. In the case of real analytic functions we derive higher order Pizzetti's formulas. As applications we obtain a maximum principle for polyharmonic functions and a characterization of convergent solutions to higher order heat type equations.
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Pizzetti formulas
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polyharmonic functions
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heat type equations
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integral mean value functions
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