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Spinor spaces in discrete Clifford analysis

Hilde De Ridder UGent and Tim Raeymaekers UGent (2017) COMPLEX ANALYSIS AND OPERATOR THEORY. 11(5). p.1113-1137
abstract
In this paper we work in the ‘split’ discrete Clifford analysis setting, i.e. the m-dimensional function theory concerning null-functions,defined on the grid Zm, of the discrete Dirac operator ∂, involving both forward and backward differences, which factorizes the (discrete) Star-Laplacian. We show how the space Mk of discrete spherical monogenics homogeneous of degree k, is decomposable into irreducible so(m)-representations.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Discrete Clifford analysis, Irreducible representation, Orthogonal Lie algebra, Monogenic functions
journal title
COMPLEX ANALYSIS AND OPERATOR THEORY
COMPLEX ANAL OPER TH
volume
11
issue
5
pages
1113 - 1137
publisher
SPRINGER BASEL AG
place of publication
PICASSOPLATZ 4, BASEL 4052, SWITZERLAND
ISSN
1661-8254
1661-8262
DOI
10.1007/s11785-017-0644-x
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
8509385
handle
http://hdl.handle.net/1854/LU-8509385
date created
2017-02-14 10:41:57
date last changed
2017-06-06 13:48:37
@article{8509385,
  abstract     = { In this paper we work in the {\textquoteleft}split{\textquoteright} discrete Clifford analysis setting, i.e. the m-dimensional function theory concerning null-functions,de\unmatched{fb01}ned on the grid Zm, of the discrete Dirac operator \ensuremath{\partial}, involving both forward and backward differences, which factorizes the (discrete) Star-Laplacian. We show how the space Mk of discrete spherical monogenics homogeneous of degree k, is decomposable into irreducible so(m)-representations. },
  author       = {De Ridder, Hilde and Raeymaekers, Tim},
  issn         = {1661-8254},
  journal      = {COMPLEX ANALYSIS AND OPERATOR THEORY},
  keyword      = {Discrete Clifford analysis,Irreducible representation,Orthogonal Lie algebra,Monogenic functions},
  language     = {eng},
  number       = {5},
  pages        = {1113--1137},
  publisher    = {SPRINGER BASEL AG},
  title        = {Spinor spaces in discrete Clifford analysis},
  url          = {http://dx.doi.org/10.1007/s11785-017-0644-x},
  volume       = {11},
  year         = {2017},
}

Chicago
De Ridder, Hilde, and Tim Raeymaekers. 2017. “Spinor Spaces in Discrete Clifford Analysis.” Complex Analysis and Operator Theory 11 (5): 1113–1137.
APA
De Ridder, H., & Raeymaekers, T. (2017). Spinor spaces in discrete Clifford analysis. COMPLEX ANALYSIS AND OPERATOR THEORY, 11(5), 1113–1137.
Vancouver
1.
De Ridder H, Raeymaekers T. Spinor spaces in discrete Clifford analysis. COMPLEX ANALYSIS AND OPERATOR THEORY. PICASSOPLATZ 4, BASEL 4052, SWITZERLAND: SPRINGER BASEL AG; 2017;11(5):1113–37.
MLA
De Ridder, Hilde, and Tim Raeymaekers. “Spinor Spaces in Discrete Clifford Analysis.” COMPLEX ANALYSIS AND OPERATOR THEORY 11.5 (2017): 1113–1137. Print.