On Penrose integral formula and series expansion of \(k\)-regular functions on the quaternionic space \(\mathbb H^n\)
From MaRDI portal
Publication:1938617
DOI10.1016/j.geomphys.2012.11.002zbMath1259.30028OpenAlexW2050133751MaRDI QIDQ1938617
Publication date: 21 February 2013
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.11.002
Functions of hypercomplex variables and generalized variables (30G35) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Overdetermined systems of PDEs with constant coefficients (35N05)
Related Items
The resolution of Euclidean massless field operators of higher spins on \(\mathbb{R}^6\) and the \(L^2\) method ⋮ The right inverse of Dirac operator in octonionic space ⋮ On the Hodge-type decomposition and cohomology groups of \(k\)-Cauchy-Fueter complexes over domains in the quaternionic space ⋮ Two classes of linear equations of discrete convolution type with harmonic singular operators ⋮ On the weighted \(L^{2}\) estimate for the \(k\)-Cauchy-Fueter operator and the weighted \(k\)-Bergman kernel ⋮ The Neumann problem for the \(k\)-Cauchy-Fueter complex over \(k\)-pseudoconvex domains in \(\mathbb{R}^4\) and the \(L^2\) estimate ⋮ Bochner-Martinelli formula for higher spin operators of several \(\mathbb{R}^6\) variables ⋮ Hartogs phenomena for discrete \(k\)-Cauchy-Fueter operators ⋮ Subsolution theorem and the Dirichlet problem for the quaternionic Monge-Ampère equation ⋮ A variational approach to the quaternionic Monge-Ampère equation ⋮ Quasicontinuity and maximality of quaternionic plurisubharmonic functions ⋮ Theory of several paravector variables: Bochner-Martinelli formula and Hartogs theorem ⋮ On twistor transformations and invariant differential operator of simple Lie group G2(2) ⋮ Quaternionic Monge-Ampère operator for unbounded plurisubharmonic functions ⋮ A version of Schwarz lemma associated to the \(k\)-Cauchy-Fueter operator ⋮ On quaternionic complexes over unimodular quaternionic manifolds ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators ⋮ The continuity and range of the quaternionic Monge-Ampère operator on quaternionic space ⋮ Bochner-Martinelli formula for \(k\)-Cauchy-Fueter operator ⋮ \(k\)-monogenic functions over 6-dimensional Euclidean space ⋮ On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group ⋮ The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group ⋮ Fischer decomposition of massless fields for spin 3/2 in dimension 4 ⋮ On the tangential Cauchy-Fueter operators on nondegenerate quadratic hypersurfaces in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {H}^2}$\end{document} ⋮ On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space
