Biregular extendability via isotonic Clifford analysis

Ricardo Abreu Blaya; Juan Bory Reyes; Dixan Peña Peña; Frank Sommen

doi:10.1002/mma.1209

Biregular extendability via isotonic Clifford analysis

Ricardo Abreu Blaya, Juan Bory Reyes, Dixan Peña Peña, Frank Sommen

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

2 Scopus citations

Abstract

We use the so-called isotonic functions to obtain extension theorems in the framework of biregular functions of Clifford analysis. In this context we also prove the Plemelj-Sokhotski formulae for the Bochner-Martinelli integral and an expression for the square of its singular version.

Original language	English
Pages (from-to)	384-393
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	33
Issue number	4
DOIs	https://doi.org/10.1002/mma.1209
State	Published - 15 Mar 2010
Externally published	Yes

Keywords

Biregular extension theorem
Clifford algebras
Isotonic functions

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10.1002/mma.1209

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title = "Biregular extendability via isotonic Clifford analysis",

abstract = "We use the so-called isotonic functions to obtain extension theorems in the framework of biregular functions of Clifford analysis. In this context we also prove the Plemelj-Sokhotski formulae for the Bochner-Martinelli integral and an expression for the square of its singular version.",

keywords = "Biregular extension theorem, Clifford algebras, Isotonic functions",

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year = "2010",

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AU - Blaya, Ricardo Abreu

AU - Reyes, Juan Bory

AU - Peña, Dixan Peña

AU - Sommen, Frank

PY - 2010/3/15

Y1 - 2010/3/15

N2 - We use the so-called isotonic functions to obtain extension theorems in the framework of biregular functions of Clifford analysis. In this context we also prove the Plemelj-Sokhotski formulae for the Bochner-Martinelli integral and an expression for the square of its singular version.

AB - We use the so-called isotonic functions to obtain extension theorems in the framework of biregular functions of Clifford analysis. In this context we also prove the Plemelj-Sokhotski formulae for the Bochner-Martinelli integral and an expression for the square of its singular version.

KW - Biregular extension theorem

KW - Clifford algebras

KW - Isotonic functions

UR - http://www.scopus.com/inward/record.url?scp=77249112779&partnerID=8YFLogxK

U2 - 10.1002/mma.1209

DO - 10.1002/mma.1209

M3 - Artículo

AN - SCOPUS:77249112779

SN - 0170-4214

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SP - 384

EP - 393

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 4

ER -

Biregular extendability via isotonic Clifford analysis

Abstract

Keywords

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