Geodesic
On absolutely divergent Fourier series
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 52, Tome 537 (2024), pp. 94-103 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method of constructing series mentioned in the title in many dimen-\break sions is discussed. This method yields series representing functions of smoothness slightly ligher than for those in the class $C^{(d/2)}(\mathbb T^d)$ and is based on an analog of the de Leeuw–Katznelson–Kahane theorem for the classes $C^{(l)}(\mathbb T^d)$. 
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     author = {S. V. Kislyakov},
     title = {On absolutely divergent {Fourier} series},
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}
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S. V. Kislyakov. On absolutely divergent Fourier series. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 52, Tome 537 (2024), pp. 94-103. http://geodesic.mathdoc.fr/item/ZNSL_2024_537_a3/

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