Characterizations of function spaces by the discrete Radon transform

A. Abouelaz, T. Kawazoe

研究成果: Article査読

2 被引用数 (Scopus)

抄録

Let ℤ n be the lattice in ℝ n and G the set of all discrete hyperplanes in ℤ n. Similarly, as in the Euclidean case, for a function f on ℤ n, the discrete Radon transform Rf is defined by the integral of f over discrete hyperplanes, and R maps functions on ℤ n to functions on G. In this paper, we determine the Radon transform images of the Schwartz space S(ℤ n), the space of compactly supported functions on ℤ , and a discrete Hardy space H 1(ℤ n).

本文言語English
ページ(範囲)627-637
ページ数11
ジャーナルIntegral Transforms and Special Functions
23
9
DOI
出版ステータスPublished - 2012 9 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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