# 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 weighted L2 estimate for the k-Cauchy–Fueter operator and the weighted k-Bergman kernel

- Mathematics
- 2017

### 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…

### On the tangential Cauchy-Fueter operators on nondegenerate quadratic hypersurfaces in H 2

- Mathematics
- 2013

On quadratic hypersurfaces in H 2 , we ﬁnd the explicit forms of tangential Cauchy-Fueter operators and associated tangential Laplacians (cid:2) b . Then by using the Fourier transformation on the…

### On quaternionic complexes over unimodular quaternionic manifolds

- MathematicsDifferential Geometry and its Applications
- 2018

### 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…

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