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On the Open TS/ST Correspondence. [PDF]

open access: yesCommun Math Phys
François M, Grassi A.
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Fourier series and Fourier–Haar series for stochastic measures

Theory of Probability and Mathematical Statistics, 2018
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Radchenko, V. M., Stefans'ka, N. O.
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On Fourier Series on the Torus and Fourier Transforms

Mathematical Notes, 2021
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Representation of the Fourier Transform by Fourier Series

Journal of Mathematical Imaging and Vision, 2006
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On hermite-fourier series

Periodica Mathematica Hungarica, 1992
The present work of the author is a sequel to his earlier paper (*) [Acta Math. Hung. 57, No. 1/2, 169-179 (1991; Zbl 0757.41027)]. Several results relating the Hermite-Fourier series are investigated including the norm estimates for the ordinary and conjugate Abel-Poisson means.
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The Summability of Fourier Series

The Mathematical Gazette, 1931
One of the oldest problems in the theory of Fourier series is that of looking for a criterion that a Fourier series shall converge. No one, however, has been able to find a simple, necessary and sufficient condition for this. Thus, for instance, bounded variation of the function is sufficient but not necessary.
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