Displaying similar documents to “Mean-periodic functions.”

Mean periodic functions on phase space and the Pompeiu problem with a twist

Sundaram Thangavelu (1995)

Annales de l'institut Fourier

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We show that when f is a mean periodic function of tempered growth on the reduced Heisenberg group then the closed translation and rotation invariant subspace generated by f contains an elementary spherical function. Using a Paley-Wiener theorem for the Fourier-Weyl transform we formulate a conjecture for arbitrary mean periodic functions.

Periodic Boehmians.

Nemzer, Dennis (1989)

International Journal of Mathematics and Mathematical Sciences

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Mean-periodic operational calculi

Ivan Dimovski, Krystyna Skórnik (2000)

Banach Center Publications

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Elements of operational calculi for mean-periodic functions with respect to a given linear functional in the space of continuous functions are developed. Application for explicit determining of such solutions of linear ordinary differential equations with constant coefficients is given.

Equicontinuous families of operators generating mean periodic maps

Valentina Casarino (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The existence of mean periodic functions in the sense of L. Schwartz, generated, in various ways, by an equicontinuous group U or an equicontinuous cosine function C forces the spectral structure of the infinitesimal generator of U or C . In particular, it is proved under fairly general hypotheses that the spectrum has no accumulation point and that the continuous spectrum is empty.