Quaternionic hyperfunctions on five-dimensional varieties in \(\mathbb H^2\)

DOI10.1007/BF02922091zbMath1135.30021OpenAlexW2025079780MaRDI QIDQ2459943

Alberto Damiano, Irene Sabadini, Fabrizio Colombo, Daniele C. Struppa

Publication date: 9 November 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02922091

zbMATH Keywords

differential formsClifford algebrasholomorphic functionsmonogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Hyperfunctions, analytic functionals (46F15) Clifford algebras, spinors (15A66)

Related Items (6)

Multicomplex hyperfunctions ⋮ The Cauchy-Kowalewski product for bicomplex holomorphic functions ⋮ Invariant syzygies for the Hermitian Dirac operator ⋮ Different approaches to the complex of three Dirac operators ⋮ Bicomplex hyperfunctions ⋮ Sato's hyperfunctions and boundary values of monogenic functions

Cites Work

• Explicit resolutions for the complex of several Fueter operators
• Quaternionic complexes
• Hartog's phenomenon for polyregular functions and projective dimension of related modules over a polynomial ring
• Regular functions of several quaternionic variables and the Cauchy-Fueter complex
• Complexes of Dirac operators in Clifford algebras
• Analysis of Dirac systems and computational algebra.
• Invariant resolutions for several Fueter operators
• The Dirac Complex on Abstract Vector Variables: Megaforms
• Analysis of the module determining the properties of regular functions of several quaternionic variables.
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