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The Hilbert Transform on the Unit Sphere in R^m

Fred Brackx UGent and Hennie De Schepper UGent (2009) Trends in Mathematics. p.11-36
abstract
As an intrinsically multidimensional function theory, Clifford analysis offers a framework which is particularly suited for the integrated treatment of higher-dimensional phenomena. In this paper a detailed account is given of results connected to the Hilbert transform on the unit sphere in Euclidean space and some of its related concepts, such as Hardy spaces and the Cauchy integral, in a Clifford analysis context.
Please use this url to cite or link to this publication:
author
organization
year
type
conference
publication status
published
subject
in
Trends in Mathematics
editor
Irene Sabadini, Michael Shapiro and Franciscus Sommen UGent
issue title
Hypercomplex Analysis
pages
26 pages
publisher
Birkhäuser Verlag
place of publication
Basel-Boston-Berlin
conference name
6th Congress of the International Society for Analysis its Applications and Computation
conference location
Ankara
conference start
2007-08-13
conference end
2007-08-18
Web of Science type
Proceedings Paper
Web of Science id
000264751300002
ISBN
978-3-7643-9892-7
language
English
UGent publication?
yes
classification
P1
id
681648
handle
http://hdl.handle.net/1854/LU-681648
date created
2009-06-07 08:58:54
date last changed
2009-06-30 16:07:13
@inproceedings{681648,
  abstract     = {As an intrinsically multidimensional function theory, Clifford analysis offers a framework which is particularly suited for the integrated treatment of higher-dimensional phenomena. In this paper a detailed account is given of results connected to the Hilbert transform on the unit sphere in Euclidean space and some of its related concepts, such as Hardy spaces and the Cauchy integral, in a Clifford analysis context.},
  author       = {Brackx, Fred and De Schepper, Hennie},
  booktitle    = {Trends in Mathematics},
  editor       = {Sabadini, Irene and Shapiro, Michael and Sommen, Franciscus},
  isbn         = {978-3-7643-9892-7},
  language     = {eng},
  location     = {Ankara},
  pages        = {11--36},
  publisher    = {Birkh{\"a}user Verlag},
  title        = {The Hilbert Transform on the Unit Sphere in R\^{ }m},
  year         = {2009},
}

Chicago
Brackx, Fred, and Hennie De Schepper. 2009. “The Hilbert Transform on the Unit Sphere in R^m.” In Trends in Mathematics, ed. Irene Sabadini, Michael Shapiro, and Franciscus Sommen, 11–36. Basel-Boston-Berlin: Birkhäuser Verlag.
APA
Brackx, Fred, & De Schepper, H. (2009). The Hilbert Transform on the Unit Sphere in R^m. In I. Sabadini, M. Shapiro, & F. Sommen (Eds.), Trends in Mathematics (pp. 11–36). Presented at the 6th Congress of the International Society for Analysis its Applications and Computation, Basel-Boston-Berlin: Birkhäuser Verlag.
Vancouver
1.
Brackx F, De Schepper H. The Hilbert Transform on the Unit Sphere in R^m. In: Sabadini I, Shapiro M, Sommen F, editors. Trends in Mathematics. Basel-Boston-Berlin: Birkhäuser Verlag; 2009. p. 11–36.
MLA
Brackx, Fred, and Hennie De Schepper. “The Hilbert Transform on the Unit Sphere in R^m.” Trends in Mathematics. Ed. Irene Sabadini, Michael Shapiro, & Franciscus Sommen. Basel-Boston-Berlin: Birkhäuser Verlag, 2009. 11–36. Print.