General forms of the Menshov-Rademacher, Orlicz, and Tandori theorems on orthogonal series (Q2896653)
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scientific article; zbMATH DE number 6056401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General forms of the Menshov-Rademacher, Orlicz, and Tandori theorems on orthogonal series |
scientific article; zbMATH DE number 6056401 |
Statements
16 July 2012
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Menshov-Rademacher theorem
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Orlicz theorem
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Tandori theorem
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orthogonal series
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math.FA
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General forms of the Menshov-Rademacher, Orlicz, and Tandori theorems on orthogonal series (English)
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Classical theorems about the convergence almost everywhere of general orthogonal series are extended to the case of direct integral of a measurable family of Hilbert spaces. This includes, in particular, the case of the space \(L^2\) of vector-valued functions on a measure space.
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