Fundamental Solutions for the First Order Meta-Monogenic Operator

A. N. Di Teodoro; C. J. Vanegas

doi:10.1007/s00006-011-0293-5

Fundamental Solutions for the First Order Meta-Monogenic Operator

A. N. Di Teodoro
, C. J. Vanegas

Universidad Simón Bolívar

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

17 Scopus citations

Abstract

Using Clifford-type algebras depending on parameters we give explicit representations for fundamental solutions of the first order homogeneous metamonogenic equation. We also prove a Cauchy-Pompeiu Integral Formula.

Original language	English
Pages (from-to)	49-58
Number of pages	10
Journal	Advances in Applied Clifford Algebras
Volume	22
Issue number	1
DOIs	https://doi.org/10.1007/s00006-011-0293-5
State	Published - Mar 2012
Externally published	Yes

Keywords

Cauchy-Pompeiu Formula
Clifford-type algebras depending on parameters
fundamental solutions
metamonogenic functions

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10.1007/s00006-011-0293-5

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title = "Fundamental Solutions for the First Order Meta-Monogenic Operator",

abstract = "Using Clifford-type algebras depending on parameters we give explicit representations for fundamental solutions of the first order homogeneous metamonogenic equation. We also prove a Cauchy-Pompeiu Integral Formula.",

keywords = "Cauchy-Pompeiu Formula, Clifford-type algebras depending on parameters, fundamental solutions, metamonogenic functions",

author = "\{Di Teodoro\}, \{A. N.\} and Vanegas, \{C. J.\}",

year = "2012",

month = mar,

doi = "10.1007/s00006-011-0293-5",

language = "Ingl{\'e}s",

volume = "22",

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journal = "Advances in Applied Clifford Algebras",

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AU - Di Teodoro, A. N.

AU - Vanegas, C. J.

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N2 - Using Clifford-type algebras depending on parameters we give explicit representations for fundamental solutions of the first order homogeneous metamonogenic equation. We also prove a Cauchy-Pompeiu Integral Formula.

AB - Using Clifford-type algebras depending on parameters we give explicit representations for fundamental solutions of the first order homogeneous metamonogenic equation. We also prove a Cauchy-Pompeiu Integral Formula.

KW - Cauchy-Pompeiu Formula

KW - Clifford-type algebras depending on parameters

KW - fundamental solutions

KW - metamonogenic functions

UR - https://www.scopus.com/pages/publications/84857646342

U2 - 10.1007/s00006-011-0293-5

DO - 10.1007/s00006-011-0293-5

M3 - Artículo

AN - SCOPUS:84857646342

SN - 0188-7009

VL - 22

SP - 49

EP - 58

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

IS - 1

ER -

Fundamental Solutions for the First Order Meta-Monogenic Operator

Abstract

Keywords

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