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

Mathematics

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

Bibliographical note

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

Keywords

Algebraic functions
Weierstrass preparation theorem
Wiener algebra

Access to Document

10.1080/00927872.2013.799177

Cite this

@article{d00d85fce40747ff92965cca7ac41963,

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",

month = sep,

doi = "10.1080/00927872.2013.799177",

language = "אנגלית",

volume = "42",

pages = "3969--3979",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "9",

}

TY - JOUR

T1 - Algebraic Functions in the Wiener Algebra

AU - Fehm, Arno

AU - Lev, Nir

AU - Paran, Elad

N1 - Funding Information: This research was supported by the DFG program “Initiation and Intensification of Bilateral Cooperation.”

PY - 2014/9

Y1 - 2014/9

N2 - 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.

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.

KW - Algebraic functions

KW - Weierstrass preparation theorem

KW - Wiener algebra

UR - https://www.scopus.com/pages/publications/84899710049

U2 - 10.1080/00927872.2013.799177

DO - 10.1080/00927872.2013.799177

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84899710049

SN - 0092-7872

VL - 42

SP - 3969

EP - 3979

JO - Communications in Algebra

JF - Communications in Algebra

IS - 9

ER -

Algebraic Functions in the Wiener Algebra

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this