A Goursat decomposition for polyharmonic functions in Euclidean space
(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:
http://hdl.handle.net/1854/LU-3032091
- author
- Fred Brackx UGent, Richard Delanghe UGent, Hennie De Schepper UGent and Vladimir Soucek
- organization
- year
- 2012
- 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.