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Discrete characterization of the Paley-Wiener space with several variables

Discrete characterization of the Paley-Wiener space with several variables In this paper, we obtain a characterization of the Paley-Wiener space with several variables, which is denoted byB π, p (R n ), 1≤p<∞, i.e., for 1<p<∞,B π, p (R n ) is isomorphic tol p (Z n ), and forp=1,B π, 1 (R n ) is isomorphic to the discrete Hardy space with several variables, which is denoted byH(Z n ). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Discrete characterization of the Paley-Wiener space with several variables

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02671129
Publisher site
See Article on Publisher Site

Abstract

In this paper, we obtain a characterization of the Paley-Wiener space with several variables, which is denoted byB π, p (R n ), 1≤p<∞, i.e., for 1<p<∞,B π, p (R n ) is isomorphic tol p (Z n ), and forp=1,B π, 1 (R n ) is isomorphic to the discrete Hardy space with several variables, which is denoted byH(Z n ).

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jul 7, 2007

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