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Fischer decomposition in symplectic harmonic analysis

Fred Brackx UGent, Hennie De Schepper UGent, David Eelbode, Roman Lávička and Vladimir Soucek (2014) ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. 46(4). p.409-430
abstract
In the framework of quaternionic Clifford analysis in Euclidean space , which constitutes a refinement of Euclidean and Hermitian Clifford analysis, the Fischer decomposition of the space of complex valued polynomials is obtained in terms of spaces of so-called (adjoint) symplectic spherical harmonics, which are irreducible modules for the symplectic group Sp. Its Howe dual partner is determined to be sl(2, C) circle plus sl(2, C) = so(4, C).
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Fischer decomposition, Hermitean Clifford analysis, Quaternionic Clifford analysis, Symplectic harmonics, HERMITEAN CLIFFORD ANALYSIS
journal title
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Ann. Glob. Anal. Geom.
volume
46
issue
4
pages
409 - 430
Web of Science type
Article
Web of Science id
000345135400005
JCR category
MATHEMATICS
JCR impact factor
0.684 (2014)
JCR rank
119/312 (2014)
JCR quartile
2 (2014)
ISSN
0232-704X
DOI
10.1007/s10455-014-9431-3
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
5839780
handle
http://hdl.handle.net/1854/LU-5839780
date created
2015-02-06 09:39:17
date last changed
2016-12-19 15:41:53
@article{5839780,
  abstract     = {In the framework of quaternionic Clifford analysis in Euclidean space , which constitutes a refinement of Euclidean and Hermitian Clifford analysis, the Fischer decomposition of the space of complex valued polynomials is obtained in terms of spaces of so-called (adjoint) symplectic spherical harmonics, which are irreducible modules for the symplectic group Sp. Its Howe dual partner is determined to be sl(2, C) circle plus sl(2, C) = so(4, C).},
  author       = {Brackx, Fred and De Schepper, Hennie and Eelbode, David and L{\'a}vi\v{c}ka, Roman and Soucek, Vladimir},
  issn         = {0232-704X},
  journal      = {ANNALS OF GLOBAL ANALYSIS AND GEOMETRY},
  keyword      = {Fischer decomposition,Hermitean Clifford analysis,Quaternionic Clifford analysis,Symplectic harmonics,HERMITEAN CLIFFORD ANALYSIS},
  language     = {eng},
  number       = {4},
  pages        = {409--430},
  title        = {Fischer decomposition in symplectic harmonic analysis},
  url          = {http://dx.doi.org/10.1007/s10455-014-9431-3},
  volume       = {46},
  year         = {2014},
}

Chicago
Brackx, Fred, Hennie De Schepper, David Eelbode, Roman Lávička, and Vladimir Soucek. 2014. “Fischer Decomposition in Symplectic Harmonic Analysis.” Annals of Global Analysis and Geometry 46 (4): 409–430.
APA
Brackx, Fred, De Schepper, H., Eelbode, D., Lávička, R., & Soucek, V. (2014). Fischer decomposition in symplectic harmonic analysis. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 46(4), 409–430.
Vancouver
1.
Brackx F, De Schepper H, Eelbode D, Lávička R, Soucek V. Fischer decomposition in symplectic harmonic analysis. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. 2014;46(4):409–30.
MLA
Brackx, Fred, Hennie De Schepper, David Eelbode, et al. “Fischer Decomposition in Symplectic Harmonic Analysis.” ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 46.4 (2014): 409–430. Print.