Ramanujan sums and almost periodic functions
P. Erdös, M. Kac, E. van Kampen, A. Wintner (1940)
Studia Mathematica
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P. Erdös, M. Kac, E. van Kampen, A. Wintner (1940)
Studia Mathematica
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Richard Wheeden (1966)
Studia Mathematica
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Salomon Bochner (1936)
Prace Matematyczno-Fizyczne
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Alexandr Fischer (1999)
Mathematica Bohemica
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This paper generalizes earlier author's results where the linear and quasilinear equations with constant coefficients were treated. Here the method of limit passages and a fixed-point theorem is used for the linear and quasilinear equations with almost periodic coefficients.
G.T. LaVarnway, R. Cooke (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Yousra Djabri, Fazia Bedouhene, Fatiha Boulahia (2020)
Commentationes Mathematicae Universitatis Carolinae
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We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann in terms of Bochner transform. Some structural properties of these functions are investigated. A particular attention is paid to the Nemytskii operator between spaces of Stepanov--Orlicz almost periodic functions. Finally, we establish an existence and uniqueness result of Bohr almost periodic mild solution to a class of semilinear evolution equations with Stepanov--Orlicz almost periodic forcing...
A. Calderón, Antoni Zygmund (1954)
Studia Mathematica
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