# On Penrose integral formula and series expansion of k-regular functions on the quaternionic space Hn☆

@article{Kang2013OnPI, title={On Penrose integral formula and series expansion of k-regular functions on the quaternionic space Hn☆}, author={Qianqian Kang and Wei Wang}, journal={Journal of Geometry and Physics}, year={2013}, volume={64}, pages={192-208} }

## 29 Citations

On the Hodge-type decomposition and cohomology groups of k-Cauchy–Fueter complexes over domains in the quaternionic space

- Mathematics
- 2016

On the quaternionic Monge-Ampere operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space

- Mathematics
- 2017

The tangential k-Cauchy–Fueter complexes and Hartogs’ phenomenon over the right quaternionic Heisenberg group

- MathematicsAnnali di Matematica Pura ed Applicata (1923 -)
- 2019

We construct the tangential $k$-Cauchy-Fueter complexes on the right quaternionic Heisenberg group, as the quaternionic counterpart of $\overline{\partial}_b$-complex on the Heisenberg group in the…

A Version of Schwarz Lemma Associated to the k-Cauchy–Fueter Operator

- MathematicsAdvances in Applied Clifford Algebras
- 2021

The k-Cauchy–Fueter operator is an Euclidean version of the helicity k/2 massless field equations on affine Minkowski space. In this article, a version of Schwarz lemma associated to the…

On twistor transformations and invariant differential operator of simple Lie group G2(2)

- Mathematics
- 2013

The twistor transformations associated to the simple Lie group G2 are described explicitly. We consider the double fibration G2/P2←ηG2/B→τG2/P1, where P1 and P2 are two parabolic subgroups of G2 and…

The Neumann Problem for the k-Cauchy–Fueter Complex over k-Pseudoconvex Domains in $$\mathbb {R}^4$$R4 and the $$L^2$$L2 Estimate

- Mathematics
- 2019

The k-Cauchy–Fueter operator and complex are quaternionic counterparts of the Cauchy–Riemann operator and the Dolbeault complex in the theory of several complex variables, respectively. To develop…

A variational approach to the quaternionic Monge–Ampère equation

- Mathematics
- 2020

In this paper, we use the variational method to solve the quaternionic Monge–Ampère equation when the right-hand side is a positive measure of finite energy. We introduce finite energy classes of…

On Octonionic Regular Functions and the Szegö Projection on the Octonionic Heisenberg Group

- Mathematics
- 2014

We discuss the octonionic regular functions and the octonionic regular operator on the octonionic Heisenberg group. This is the octonionic version of CR function theory in the theory of several…

Monogenic hull for the n-Cauchy-Fueter operator and twistor theory

- Mathematics
- 2018

This is the first part in a series of three articles in which are studied the domains of monogenicity for the $n$-Cauchy-Fueter operator. Using the twistor theory, we will in this article show that…

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