On norm dependent positive definite functions (Q1907011)
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scientific article; zbMATH DE number 838726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On norm dependent positive definite functions |
scientific article; zbMATH DE number 838726 |
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On norm dependent positive definite functions (English)
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28 January 1996
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In the first part of the paper, we prove a decomposition theorem for positive definite functions (Theorem 2.3) generalizing a result of de Leeuw and Glicksberg. Using this theorem, we then show (Theorem 3.1) that certain norm dependent positive definite functions are automatically continuous at every point different from zero.
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normed linear space
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decomposition theorem
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positive definite functions
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