On function of bounded deviation. II (Q582519)
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scientific article; zbMATH DE number 4130967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On function of bounded deviation. II |
scientific article; zbMATH DE number 4130967 |
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On function of bounded deviation. II (English)
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1988
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[For part I see Acta Sci. math. 36, 259-263 (1974; Zbl 0314.42006).] The investigation of functions of bounded deviation is continued. A function on the circle group T is called of bounded deviation if it has Fourier coefficients which are 0(1/n). The main result is that the Fourier coefficients of \(f\circ g\) are of order 1/n for each homeomorphism g of T onto itself, if and only if f is a function of bounded variation.
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functions of bounded deviation
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