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Fundaments of Quaternionic Clifford Analysis I: Quaternionic Structure
Introducing a quaternionic structure on Euclidean space, the fundaments for quaternionic and symplectic Clifford analysis are studied in detail from the viewpoint of invariance for the symplectic group action....
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Fundaments of quaternionic Clifford analysis II: splitting of equations
Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional function theory which refines harmonic analysis and generalizes significance of quaternionic
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Quaternion Complexes in Clifford Analysis
Hilbert syzygies, invariant differential operators, BGG resolution...
BA - Obecná matematika
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Cauchy's Formula in Clifford Analysis: An Overview
, several new branches of Clifford analysis have emerged, namely, Hermitian and Quaternionic Clifford analysis as refinements of euclidean Clifford analysis, the Cauchy Integral Formula h...
Pure mathematics
- 2019 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
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osp(4|2)-monogenicity in Clifford analysis
A new concept of osp(4|2)-monogenicity is introduced as a refinement of quaternionic monogenicity; it is defined by means of four quaternionic Dirac operators, a scalar Euler operator and a multiplicative Clifford algebra o...
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
The Cauchy Integral Formula in Hermitian, Quaternionic and osp(4|2) Clifford Analysis
of euclidean Clifford analysis by introducing a complex structure on R^2n, quaternionic)-monogenic functions, the newest branch of Clifford analysis refining quaternionic, the Cauchy Integral For...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Fischer decomposition in symplectic harmonic analysis
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 ...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Fischer decomposition for osp(4|2)-monogenics in quaternionic Clifford analysis
as a refinement of quaternionic monogenicity; it is defined by means of the four quaternionic harmonicity and a multiplicative Clifford algebra operator P underlying the decomposition......
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Fischer decomposition for the symplectic group
We prove the Fischer decomposition for the space of spinor-valued polynomials, defined on Euclidean space of four-fold dimension, in terms of irreducible modules for the symplectic group, consisting of so-called osp(4|2)-monogenics....
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A survey of some recent results on Clifford algebras in R^4
We will study applications of numerical methods in Clifford algebras in, in particular in the skew field of quaternions, in the algebra of coquaternions case, we first consider linear equations in quaternions and coquaterni...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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