Wiener Algebra for the Quaternions

Daniel Alpay; Fabrizio Colombo; David P. Kimsey; Irene Sabadini

doi:10.1007/s00009-015-0634-z

Wiener Algebra for the Quaternions

Daniel Alpay, Fabrizio Colombo, David P. Kimsey, Irene Sabadini

Department of Mathematics

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

9 Scopus citations

Abstract

We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener–Lévy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener–Hopf operators.

Original language	English
Pages (from-to)	2463-2482
Number of pages	20
Journal	Mediterranean Journal of Mathematics
Volume	13
Issue number	5
DOIs	https://doi.org/10.1007/s00009-015-0634-z
State	Published - 1 Oct 2016

Keywords

13J05
47B35
47S

ASJC Scopus subject areas

General Mathematics

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10.1007/s00009-015-0634-z

Cite this

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title = "Wiener Algebra for the Quaternions",

abstract = "We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener–L{\'e}vy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener–Hopf operators.",

keywords = "13J05, 47B35, 47S",

author = "Daniel Alpay and Fabrizio Colombo and Kimsey, \{David P.\} and Irene Sabadini",

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T1 - Wiener Algebra for the Quaternions

AU - Alpay, Daniel

AU - Colombo, Fabrizio

AU - Kimsey, David P.

AU - Sabadini, Irene

PY - 2016/10/1

Y1 - 2016/10/1

N2 - We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener–Lévy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener–Hopf operators.

AB - We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener–Lévy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener–Hopf operators.

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KW - 47B35

KW - 47S

UR - https://www.scopus.com/pages/publications/84944608813

U2 - 10.1007/s00009-015-0634-z

DO - 10.1007/s00009-015-0634-z

M3 - Article

AN - SCOPUS:84944608813

SN - 1660-5446

VL - 13

SP - 2463

EP - 2482

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 5

ER -

Wiener Algebra for the Quaternions

Abstract

Keywords

ASJC Scopus subject areas

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