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Displaying similar documents to “Exponential integrability of certain singular integral transforms”

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.