Some saturation theorems for classical orthogonal expansions. I (Q1183088)
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scientific article; zbMATH DE number 32692
| Language | Label | Description | Also known as |
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| English | Some saturation theorems for classical orthogonal expansions. I |
scientific article; zbMATH DE number 32692 |
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Some saturation theorems for classical orthogonal expansions. I (English)
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28 June 1992
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There are obtained saturation theorems for Abel-Poisson means of ultraspherical expansions, applying the notion of Jacobi conjugate \(\tilde f\) of a function \(f\). Among else there are used methods of semigroups of operators and estimates of Stein-Muckenhoupt type. [See also the review of Part II below.].
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orthogonal expansion
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saturation theorems
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Abel-Poisson means
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ultraspherical expansions
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Jacobi conjugate
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