Discrete characterization of the Paley-Wiener space with several variables |
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| Authors: | Chen Guanggui Fang Gensun |
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| Institution: | (1) Department of Mathematics, Beijing Normal University, 100875 Beijing, China;(2) Present address: Department of Mathematics, Chengdu teachers college, Pengzhou, 6111930 Sichuan |
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| 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
).
This project is supported by the National Natural Science Foundation of China (19671012) and Doctoral Programme Institution
of Higher Education Foundation of Chinese Educational Committee and supported by Youth Foundation of Sichuan. |
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| Keywords: | Discrete Hilbert transform Paley-Wiener space with several variables discrete Hardy space with several variables |
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