Displaying similar documents to “Commutants of the Square of Differentiation on the Half-Line”

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.

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.

Mean-periodic functions.

Berenstein, Carlos A., Taylor, B.A. (1980)

International Journal of Mathematics and Mathematical Sciences

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A limit theorem for the q-convolution

Anna Kula (2011)

Banach Center Publications

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The q-convolution is a measure-preserving transformation which originates from non-commutative probability, but can also be treated as a one-parameter deformation of the classical convolution. We show that its commutative aspect is further certified by the fact that the q-convolution satisfies all of the conditions of the generalized convolution (in the sense of Urbanik). The last condition of Urbanik's definition, the law of large numbers, is the crucial part to be proved and the non-commutative...

On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions

Draganov, Borislav R. (2011)

Mathematica Balkanica New Series

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AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85. The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined Kfunctional. The differential operator in the K-functional is defined by means of strong limit and described explicitly in terms of its Fourier coefficients. The description is simple and independent of the homogeneous Banach...