On the linear algebra in the quaternionic pluripotential theory
From MaRDI portal
Publication:1629844
DOI10.1016/j.laa.2018.10.018zbMath1403.15025arXiv1805.07759OpenAlexW2963507567WikidataQ129057163 ScholiaQ129057163MaRDI QIDQ1629844
Publication date: 12 December 2018
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.07759
Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) General pluripotential theory (32U15)
Related Items (2)
On pluripotential theory associated to quaternionic \(m\)-subharmonic functions ⋮ The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group
Cites Work
- Unnamed Item
- On a uniform estimate for the quaternionic Calabi problem
- Pluripotential theory on quaternionic manifolds
- Quasicontinuity and maximality of quaternionic plurisubharmonic functions
- The continuity and range of the quaternionic Monge-Ampère operator on quaternionic space
- On the optimal control method in quaternionic analysis
- A new capacity for plurisubharmonic functions
- Quaternionic complexes
- Quaternionic Monge-Ampère equations
- On quaternionic complexes over unimodular quaternionic manifolds
- Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables.
- A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet)
- The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
- On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space
- Potential theory for quaternionic plurisubharmonic functions
- Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry
- An introduction to potential theory in calibrated geometry
- Complexes of invariant operators in several quaternionic variables
- Duality of positive currents and plurisubharmonic functions in calibrated geometry
This page was built for publication: On the linear algebra in the quaternionic pluripotential theory
