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

Escuela Superior de Física y Matemáticas (ESFM)

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

6 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 - 2007

Keywords

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

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10.1080/17476930600793654

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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",

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AU - Correa-Romero, F. M.

AU - Luna-Elizarrarás, M. E.

AU - Shapiro, M.

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KW - Mathematics Subject Classifications: Primary: 47S10

KW - Rational functions

KW - Realization theory

KW - Secondary: 30G35

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M3 - Artículo

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EP - 78

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 1

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Hyperholomorphic rational functions: the Clifford analysis case

Abstract

Keywords

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