Hyperholomorphic rational functions: the Clifford analysis case

D. Alpay; F. M. Correa-Romero; M. E. Luna-Elizarrarás; M. Shapiro

doi:10.1080/17476930600793654

Hyperholomorphic rational functions: the Clifford analysis case

D. Alpay, F. M. Correa-Romero, M. E. Luna-Elizarrarás, M. Shapiro

Department of Mathematics

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

7 Scopus citations

Abstract

We define and characterize rational hyperholomorphic functions from R ⁿ⁺¹ into the associated Clifford algebra.

Original language	Croatian
Pages (from-to)	59-78
Number of pages	20
Journal	Complex Variables and Elliptic Equations
Volume	52
Issue number	1
DOIs	https://doi.org/10.1080/17476930600793654
State	Published - 1 Jan 2007

Keywords

Cauchy–Kovalevskaya extension theorem
Gleason's problem
Mathematics Subject Classifications: Primary: 47S10
Rational functions
Realization theory
Secondary: 30G35

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1080/17476930600793654

Cite this

@article{ea84c64908c14032bfb1ecd236c6f10a,

title = "Hyperholomorphic rational functions: the Clifford analysis case",

abstract = "We define and characterize rational hyperholomorphic functions from R n+1 into the associated Clifford algebra.",

keywords = "Cauchy–Kovalevskaya extension theorem, Gleason's problem, Mathematics Subject Classifications: Primary: 47S10, Rational functions, Realization theory, Secondary: 30G35",

author = "D. Alpay and Correa-Romero, \{F. M.\} and Luna-Elizarrar{\'a}s, \{M. E.\} and M. Shapiro",

note = "Publisher Copyright: {\textcopyright} 2007, Copyright Taylor \& Francis Group, LLC.",

year = "2007",

month = jan,

day = "1",

doi = "10.1080/17476930600793654",

language = "???core.languages.hr\_HR???",

volume = "52",

pages = "59--78",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

publisher = "Taylor and Francis Ltd.",

number = "1",

}

TY - JOUR

T1 - Hyperholomorphic rational functions

T2 - the Clifford analysis case

AU - Alpay, D.

AU - Correa-Romero, F. M.

AU - Luna-Elizarrarás, M. E.

AU - Shapiro, M.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - We define and characterize rational hyperholomorphic functions from R n+1 into the associated Clifford algebra.

AB - We define and characterize rational hyperholomorphic functions from R n+1 into the associated Clifford algebra.

KW - Cauchy–Kovalevskaya extension theorem

KW - Gleason's problem

KW - Mathematics Subject Classifications: Primary: 47S10

KW - Rational functions

KW - Realization theory

KW - Secondary: 30G35

UR - https://www.scopus.com/pages/publications/49749125239

U2 - 10.1080/17476930600793654

DO - 10.1080/17476930600793654

M3 - מאמר

AN - SCOPUS:49749125239

SN - 1747-6933

VL - 52

SP - 59

EP - 78

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 1

ER -

Hyperholomorphic rational functions: the Clifford analysis case

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this