Functions on noncompact lie groups with positive fourier transforms

Takeshi Kawazoe

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Let G be a homogeneous group with the graded Lie algebra or a noncompact semisimple Lie group with finite center. We define the Fourier transform f of f as a family of operators, and we say that f is positive if all f(n) are positive. Then, we construct an integrable function f on G with positive f and the restriction of f to any ball centered at the origin of G is square-integrable, however, f is not square-integrable on G.

本文言語English
ページ(範囲)1411-1415
ページ数5
ジャーナルProceedings of the American Mathematical Society
123
5
DOI
出版ステータスPublished - 1995 5

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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