Hermitian Clifford Analysis on Superspace
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0824-4
Abstract: In this paper we first recall the proper algebraic framework, i.e. the radial algebra, needed to extend Hermitian Clifford analysis to the superspace setting. The fundamental objects for this extension then are introduced by means… read more here.
Keywords: clifford analysis; superspace; analysis superspace; hermitian clifford ... See more keywords
On a Mixed Fischer Decomposition in Clifford Analysis
Sign Up to like & getrecommendations! Published in 2017 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-016-0574-z
Abstract: In this paper, we investigate the existence of a mixed Fischer decomposition in a generalized Clifford analysis setting, where a system of Dirac equations is considered, associated to different orthogonal bases (or structural sets) in… read more here.
Keywords: analysis; mixed fischer; clifford analysis; fischer decomposition ... See more keywords
Fischer Decomposition in Generalized Fractional Ternary Clifford Analysis
Sign Up to like & getrecommendations! Published in 2017 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-016-0631-7
Abstract: This paper describes the generalized fractional Clifford analysis in the ternary setting. We will give a complete algebraic and analytic description of the spaces of monogenic functions in this sense, their analogous Fischer decomposition, concluding… read more here.
Keywords: analysis; generalized fractional; clifford analysis; fischer decomposition ... See more keywords
Spinor Spaces in Discrete Clifford Analysis
Sign Up to like & getrecommendations! Published in 2017 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-017-0644-x
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 $${\mathbb {Z}}^m$$Zm, of the discrete Dirac operator $${\partial }$$∂, involving both forward… read more here.
Keywords: spaces discrete; discrete clifford; analysis; spinor spaces ... See more keywords