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Fourier transforms of Dini-Lipschitz functions on Vilenkin groups

DOI: 10.1155/s0161171292000784

Keywords: Dini-Lipschitz functions , Vilenkin Fourier series.

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Abstract:

In [4] we proved some theorems on the Fourier Transforms of functions satisfying conditions related to the Dini-Lipschitz conditions on the n-dimensional Euclidean space Rn and the torus group Tn. In this paper we extend those theorems for functions with Fourier series on Vilenkin groups.

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