Zobrazeno 1 - 10
of 177
pro vyhledávání: '"SOUČEK, V."'
Publikováno v:
In Journal of Geometry and Physics December 2024 206
A step 2 branching decomposition of spaces of homogeneous Hermitian monogenic polynomials in C^n is established with explicit embedding factors in terms of the generalized Jacobi polynomials, which allows for an inductive construction of an orthogona
Externí odkaz:
http://arxiv.org/abs/1305.3698
An explicit algorithmic construction is given for orthogonal bases for spaces of homogeneous polynomials, in the context of Hermitean Clifford analysis, which is a higher dimensional function theory centred around the simultaneous null solutions of t
Externí odkaz:
http://arxiv.org/abs/1102.4211
Hermitean Clifford analysis is a higher dimensional function theory centered around the simultaneous null solutions, called Hermitean monogenic functions, of two Hermitean conjugate complex Dirac operators. As an essential step towards the constructi
Externí odkaz:
http://arxiv.org/abs/1101.4516
Spherical monogenics can be regarded as a basic tool for the study of harmonic analysis of the Dirac operator in Euclidean space R^m. They play a similar role as spherical harmonics do in case of harmonic analysis of the Laplace operator on R^m. Fix
Externí odkaz:
http://arxiv.org/abs/1010.1620
The main aim of this paper is to recall the notion of the Gelfand-Tsetlin bases (GT bases for short) and to use it for an explicit construction of orthogonal bases for the spaces of spherical monogenics (i.e., homogeneous solutions of the Dirac or th
Externí odkaz:
http://arxiv.org/abs/1010.1615
In this paper, a family of radial deformations of the realization of the Lie superalgebra osp(1|2) in the theory of Dunkl operators is obtained. This leads to a Dirac operator depending on 3 parameters. Several function theoretical aspects of this op
Externí odkaz:
http://arxiv.org/abs/0911.4725
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 February 2018 458(1):831-848
Publikováno v:
Lett. Math. Phys. 30 (1994) 259-266
The gravitating matter is studied within the framework of the non-commutative geometry. The non-commutative Einstein-Hilbert action on the product of a four dimensional manifold with a discrete space gives the models of matter fields coupled to the s
Externí odkaz:
http://arxiv.org/abs/hep-th/9304157
Publikováno v:
Transactions of the American Mathematical Society, 2012 Jul 01. 364(7), 3875-3902.
Externí odkaz:
http://dx.doi.org/10.1090/S0002-9947-2012-05608-X