Algebraic Functions in the Wiener Algebra

Arno Fehm; Nir Lev; Elad Paran

doi:10.1080/00927872.2013.799177

Algebraic Functions in the Wiener Algebra

Arno Fehm, Nir Lev, Elad Paran

Bar-Ilan University, Open University of Israel

Research output: Contribution to journal › Article › peer-review

Abstract

We study algebraic properties of the Wiener algebra of absolutely convergent power series on the closed unit disc. In particular, we prove a form of Weierstrass preparation for algebraic functions in this algebra.

Original language	English
Pages (from-to)	3969-3979
Number of pages	11
Journal	Communications in Algebra
Volume	42
Issue number	9
DOIs	https://doi.org/10.1080/00927872.2013.799177
State	Published - Sep 2014

Keywords

Algebraic functions
Weierstrass preparation theorem
Wiener algebra

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927872.2013.799177

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title = "Algebraic Functions in the Wiener Algebra",

abstract = "We study algebraic properties of the Wiener algebra of absolutely convergent power series on the closed unit disc. In particular, we prove a form of Weierstrass preparation for algebraic functions in this algebra.",

keywords = "Algebraic functions, Weierstrass preparation theorem, Wiener algebra",

author = "Arno Fehm and Nir Lev and Elad Paran",

note = "Funding Information: This research was supported by the DFG program “Initiation and Intensification of Bilateral Cooperation.”",

year = "2014",

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AB - We study algebraic properties of the Wiener algebra of absolutely convergent power series on the closed unit disc. In particular, we prove a form of Weierstrass preparation for algebraic functions in this algebra.

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DO - 10.1080/00927872.2013.799177

M3 - مقالة

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EP - 3979

JO - Communications in Algebra

JF - Communications in Algebra

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Algebraic Functions in the Wiener Algebra

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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