Spaces of sequences, sampling theorem, and functions of exponential type

Rodolfo Torres

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Displaying similar documents to “Spaces of sequences, sampling theorem, and functions of exponential type”

Multiplier extension and sampling theorem on Hardy spaces.

Sun Qiyu (1994)

Publicacions Matemàtiques

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Extension by integer translates of compactly supported function for multiplier spaces on periodic Hardy spaces to multiplier spaces on Hardy spaces is given. Shannon sampling theorem is extended to Hardy spaces.

Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem

Maurice M. Dodson (2002)

Journal de théorie des nombres de Bordeaux

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Sampling theory for multi-band signals is shown to have a logical structure similar to that of Fourier analysis.

On formal trigonometrical series

Z. Zieleźny (1964)

Studia Mathematica

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On convergence of sequences of periodic distributions

J. Mikusiński (1968)

Studia Mathematica

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On Fourier transform of rapidly increasing distributions

G. Temple, Z. Zieleźny (1963)

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The Heisenberg group and the group Fourier transform of regular homogeneous distributions

Susan Slome (2000)

Studia Mathematica

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Characterization of Mellin distributions supported by certain noncompact sets

Zofia Szmydt, Bogdan Ziemian (1992)

Studia Mathematica

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A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on $C_{0}^{\infty} (K)$ . The proof is based on a parameter version of the Seeley extension theorem.

Periodic Silva tempered ultradistributions

Sousa Pinto, J. (1989)

Portugaliae mathematica

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Estimation of a centrality parameter and random sampling time. I. Necessary conditions for optimality

Claude Deniau, Georges Oppenheim, Marie-Claude Viano (1990)

Kybernetika

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