On the Pre-Bézout Property of Wiener Algebras on the Disc and the Half-Plane - NZJM

New Zealand Journal of Mathematics

R. Mortini¹  A. Sasane² 

[1] Université Paul Verlaine - MetzLMAM et Département de MathématiquesIle du SaulcyF-57045 METZFRANCE$$;Mathematics DepartmentLondon School of Economics Houghton StreetLondon WC2A 2AEUNITED KINGDOM$$

关键词: pre-Bézout ring;    Wiener algebra;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

Letdenote the open unit disk { z| |z| < 1 }, anddenote the closedright half-plane { s| Re(s)}.(1) Let W +be the Wiener algebra of the disc, that is the set of all absolutely convergent Taylor series in the open unit disk , with pointwise operations.(2) Let W +be the set of all functions defined in the right half-planethat differ from the Laplace transform of a function faL1 by aconstant. Equipped with pointwise operations, W + forms a ring.We show that the rings W +and W +are pre-Bézout rings.

【 授权许可】

Unknown