TY - JOUR
T1 - Cauchy-Pompeiu type integral formula for multi-harmonic functions
AU - Ceballos, Johan
AU - Ceballos, Mariana
AU - Di Teodoro, Antonio
AU - González, Daniel
AU - Ochoa-Tocachi, Diego
N1 - Publisher Copyright:
© 2023, Universidad Simon Bolivar. All rights reserved.
PY - 2023
Y1 - 2023
N2 - In the present work, we use a multi-dimensional Clifford type algebra to construct a Cauchy-Pompeiu type integral formula for multi-harmonic functions (also called separately-harmonic functions), which are defined in the domain of Rmi+1 X R= X · · · X Rm-+1. For this purpose, we use the fundamental solution for some second order elliptic operators constructed using the non-Euclidean distance. Finally, we show how we can obtain a Cauchy type formula using iterations.
AB - In the present work, we use a multi-dimensional Clifford type algebra to construct a Cauchy-Pompeiu type integral formula for multi-harmonic functions (also called separately-harmonic functions), which are defined in the domain of Rmi+1 X R= X · · · X Rm-+1. For this purpose, we use the fundamental solution for some second order elliptic operators constructed using the non-Euclidean distance. Finally, we show how we can obtain a Cauchy type formula using iterations.
KW - Cauchy-Pompeiu type integral
KW - Clifford-type algebra
KW - fundamental solution
KW - harmonic functions
KW - multi-dimensional Clifford algebra
KW - multi-harmonic functions
UR - http://www.scopus.com/inward/record.url?scp=85187192081&partnerID=8YFLogxK
M3 - Artículo
AN - SCOPUS:85187192081
SN - 2244-8659
VL - 11
SP - 75
EP - 102
JO - Bulletin of Computational Applied Mathematics
JF - Bulletin of Computational Applied Mathematics
IS - 1
ER -