Poisson Type Generators for L1(ℝ)

被引:0
作者
Gerard Ascensi
Joaquim Bruna
机构
[1] University of Vienna,Faculty of Mathematics
[2] Universitat Autònoma de Barcelona,Departament de Matemàtiques
来源
Journal of Fourier Analysis and Applications | 2009年 / 15卷
关键词
Poisson function; Generators by translations; 42C30;
D O I
暂无
中图分类号
学科分类号
摘要
We characterize the discrete sets Λ⊆ℝ such that {φ(t−λ),λ∈Λ} span L1(ℝ), φ being an L1(ℝ)-function whose Fourier transform behaves like e−2π|ξ|.
引用
收藏
页码:553 / 560
页数:7
相关论文
共 11 条
[1]  
Bruna J.(2006)On translation and affine systems spanning J. Fourier Anal. Appl. 12 71-82
[2]  
Bruna J.(2007)(ℝ) Bull. Lond. Math. Soc. 22 317-326
[3]  
Melnikov M.(2006)On translates of the Poisson kernel and zeros of harmonic functions Rev. Mat. Iberoam. 22 1-16
[4]  
Bruna J.(1975)Completeness in Acta Math. 135 187-219
[5]  
Olevskii A.(1997)(ℝ) of discrete translates C. R. Acad. Sci. Paris Sér. I Math. 324 987-991
[6]  
Ulanovskii A.(2004)An extension of the Nevanlinna theory J. Fourier Anal. Appl. 10 93-104
[7]  
Korenblum B.(1978)Completeness in Trans. Am. Math. Soc. 243 299-308
[8]  
Olevskii A.(undefined)(ℝ) of almost integer translates undefined undefined undefined-undefined
[9]  
Olevvskii A.(undefined)Almost integer translates. Do nice generators exist? undefined undefined undefined-undefined
[10]  
Ulanovskii A.(undefined)On approximation by shifts and a theorem of Wiener undefined undefined undefined-undefined