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A Goursat decomposition for polyharmonic functions in Euclidean space

Fred Brackx UGent, Richard Delanghe UGent, Hennie De Schepper UGent and Vladimir Soucek (2012) ADVANCES IN APPLIED CLIFFORD ALGEBRAS. 22(3). p.563-575
abstract
The Goursat representation formula in the complex plane, expressing a real–valued biharmonic function in terms of two holomorphic functions and their anti–holomorphic complex conjugates, is generalized to Euclidean space, expressing a real–valued polyharmonic function of order p in terms of p so–called monogenic functions of Clifford analysis.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
polyharmonic functions, Goursat decomposition
journal title
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
Adv. Appl. Clifford Algebr.
volume
22
issue
3
pages
563 - 575
Web of Science type
Article
Web of Science id
000308179300004
JCR category
MATHEMATICS, APPLIED
JCR impact factor
0.584 (2012)
JCR rank
166/247 (2012)
JCR quartile
3 (2012)
ISSN
0188-7009
DOI
10.1007/s00006-012-0348-2
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
3032091
handle
http://hdl.handle.net/1854/LU-3032091
date created
2012-10-19 17:47:33
date last changed
2016-12-19 15:43:37
@article{3032091,
  abstract     = {The Goursat representation formula in the complex plane, expressing a real--valued biharmonic function in terms of two holomorphic functions and their anti--holomorphic complex conjugates, is generalized to Euclidean space, expressing a real--valued polyharmonic function of order p in terms of p so--called monogenic functions of Clifford analysis.},
  author       = {Brackx, Fred and Delanghe, Richard and De Schepper, Hennie and Soucek, Vladimir},
  issn         = {0188-7009},
  journal      = {ADVANCES IN APPLIED CLIFFORD ALGEBRAS},
  keyword      = {polyharmonic functions,Goursat decomposition},
  language     = {eng},
  number       = {3},
  pages        = {563--575},
  title        = {A Goursat decomposition for polyharmonic functions in Euclidean space},
  url          = {http://dx.doi.org/10.1007/s00006-012-0348-2},
  volume       = {22},
  year         = {2012},
}

Chicago
Brackx, Fred, Richard Delanghe, Hennie De Schepper, and Vladimir Soucek. 2012. “A Goursat Decomposition for Polyharmonic Functions in Euclidean Space.” Advances in Applied Clifford Algebras 22 (3): 563–575.
APA
Brackx, Fred, Delanghe, R., De Schepper, H., & Soucek, V. (2012). A Goursat decomposition for polyharmonic functions in Euclidean space. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 22(3), 563–575.
Vancouver
1.
Brackx F, Delanghe R, De Schepper H, Soucek V. A Goursat decomposition for polyharmonic functions in Euclidean space. ADVANCES IN APPLIED CLIFFORD ALGEBRAS. 2012;22(3):563–75.
MLA
Brackx, Fred, Richard Delanghe, Hennie De Schepper, et al. “A Goursat Decomposition for Polyharmonic Functions in Euclidean Space.” ADVANCES IN APPLIED CLIFFORD ALGEBRAS 22.3 (2012): 563–575. Print.