scholarly journals From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds

2018 ◽  
pp. 39-51
Author(s):  
P. Cerejeiras ◽  
U. Kähler ◽  
J. Ryan
Keyword(s):  
Clifford Analysis ◽  
Dirac Operators ◽  
Cr Manifolds ◽  
Hermitean Clifford Analysis

HILBERT-DIRAC OPERATORS IN CLIFFORD ANALYSIS

2005 ◽  
Vol 26 (01) ◽  
pp. 1-14 ◽  
Author(s):  
F. BRACKX ◽  
H. DE SCHEPPER
Keyword(s):  
Clifford Analysis ◽  
Dirac Operators

Fundaments of Hermitean Clifford Analysis Part I: Complex Structure

2007 ◽  
Vol 1 (3) ◽  
pp. 341-365 ◽  
Author(s):  
Fred Brackx ◽  
Jarolím Bureš ◽  
Hennie De Schepper ◽  
David Eelbode ◽  
Frank Sommen ◽  
...  
Keyword(s):  
Clifford Analysis ◽  
Complex Structure ◽  
Hermitean Clifford Analysis

scholarly journals Gel’fand-Tsetlin Procedure for the Construction of Orthogonal Bases in Hermitean Clifford Analysis

2010 ◽  
Author(s):  
Fred Brackx ◽  
Hennie De Schepper ◽  
Roman Lávička ◽  
Vladimír Souček ◽  
Theodore E. Simos ◽  
...  
Keyword(s):  
Clifford Analysis ◽  
Orthogonal Bases ◽  
Hermitean Clifford Analysis

scholarly journals TRIPLE MONOGENIC FUNCTIONS AND HIGHER SPIN DIRAC OPERATORS

2011 ◽  
Vol 22 (06) ◽  
pp. 759-774 ◽  
Author(s):  
F. BRACKX ◽  
D. EELBODE ◽  
T. RAEYMAEKERS ◽  
L. VAN DE VOORDE
Keyword(s):  
Dimensional Analysis ◽  
Algebraic Structure ◽  
Clifford Analysis ◽  
Dirac Operators ◽  
Monogenic Functions ◽  
Higher Spin

In the Clifford analysis context a specific type of solution for the higher spin Dirac operators [Formula: see text] is studied; these higher spin Dirac operators can be seen as generalizations of the classical Rarita–Schwinger operator. To that end subspaces of the space of triple monogenic polynomials are introduced and their algebraic structure is investigated. Also a dimensional analysis is carried out.

Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations

2007 ◽  
Vol 52 (10-11) ◽  
pp. 1063-1079 ◽  
Author(s):  
F. Brackx ◽  
J. Bureš ◽  
H. De Schepper ◽  
D. Eelbode ◽  
F. Sommen ◽  
...  
Keyword(s):  
Clifford Analysis ◽  
Hermitean Clifford Analysis

scholarly journals Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis

2011 ◽  
Vol 34 (17) ◽  
pp. 2167-2180 ◽  
Author(s):  
F. Brackx ◽  
H. De Schepper ◽  
R. Lávička ◽  
V. Souček
Keyword(s):  
Orthogonal Polynomials ◽  
Clifford Analysis ◽  
Hermitean Clifford Analysis
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