Approximation of almost periodic functions of two variables (Q646833)
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scientific article; zbMATH DE number 5975429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of almost periodic functions of two variables |
scientific article; zbMATH DE number 5975429 |
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Approximation of almost periodic functions of two variables (English)
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18 November 2011
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The author studies the deviation of functions of two variables \(f(x,y)\), defined on the whole two-dimensional space, from the integral mean values of their Fourier transforms in the metric of the space \(L_p(\mathbb R^2)\), \(1\leq p < \infty\). In the class of uniform almost periodic functions of two variables, the author obtains estimates for the deviation from sums of Marcinkiewicz-Zygmund type.
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Fourier series
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integral mean values
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Fourier transform
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sums of Marcinkiewicz-Zygmund type
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trigonometric polynomial
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almost periodic function
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Fourier exponents
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