Singular integrals and periodic functions
A. Calderón, Antoni Zygmund (1954)
Studia Mathematica
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A. Calderón, Antoni Zygmund (1954)
Studia Mathematica
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E. Stein (1969)
Studia Mathematica
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Sundaram Thangavelu (1995)
Annales de l'institut Fourier
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We show that when is a mean periodic function of tempered growth on the reduced Heisenberg group then the closed translation and rotation invariant subspace generated by contains an elementary spherical function. Using a Paley-Wiener theorem for the Fourier-Weyl transform we formulate a conjecture for arbitrary mean periodic functions.
Berenstein, Carlos A., Taylor, B.A. (1980)
International Journal of Mathematics and Mathematical Sciences
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Carlos Lizama, Rodrigo Ponce (2011)
Studia Mathematica
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Let A and M be closed linear operators defined on a complex Banach space X. Using operator-valued Fourier multiplier theorems, we obtain necessary and sufficient conditions for the existence and uniqueness of periodic solutions to the equation d/dt(Mu(t)) = Au(t) + f(t), in terms of either boundedness or R-boundedness of the modified resolvent operator determined by the equation. Our results are obtained in the scales of periodic Besov and periodic Lebesgue vector-valued spaces. ...
Fabio Zanolin (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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J. Ligęza (1977)
Annales Polonici Mathematici
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Chao-Ping Chang (1967)
Studia Mathematica
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Sousa Pinto, J. (1989)
Portugaliae mathematica
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Fabio Zanolin (1983)
Rendiconti del Seminario Matematico della Università di Padova
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