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On Fourier-Stieltjes transforms in vector lattices. (English) Zbl 0812.42004

From the author’s abstract: This paper is concerned with a characterization of finite Fourier-Stieltjes transforms of some functions taking their values in vector lattices.

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.)
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series