Regular functions of several quaternionic variables and the Cauchy-Fueter complex
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Publication:1589337
DOI10.1007/BF02923085zbMath0966.35088MaRDI QIDQ1589337
Irene Sabadini, Carlos. A. Berenstein, William W. Adams, Daniele C. Struppa, Philippe Loustaunau
Publication date: 11 December 2000
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Differential complexes (58J10) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) Generalized function theory (30G99)
Related Items (30)
Extension of sets of approximate solutions to the Cauchy–Fueter system in two variables ⋮ Multicomplex hyperfunctions ⋮ On the Hodge-type decomposition and cohomology groups of \(k\)-Cauchy-Fueter complexes over domains in the quaternionic space ⋮ The Cauchy-Kowalewski product for bicomplex holomorphic functions ⋮ Hartog's phenomenon for polyregular functions and projective dimension of related modules over a polynomial ring ⋮ Explicit resolutions for the complex of several Fueter operators ⋮ On the Cauchy-Szegő kernel for quaternion Siegel upper half-space ⋮ The tangential Cauchy-Fueter complex on the quaternionic Heisenberg group ⋮ Hartogs phenomena for discrete \(k\)-Cauchy-Fueter operators ⋮ Invariant operators and Clifford analysis ⋮ On the quaternionic Weyl algebra ⋮ Extension and tangential CRF conditions in quaternionic analysis ⋮ Different approaches to the complex of three Dirac operators ⋮ Hartogs phenomenon for systems of differential equations ⋮ Unnamed Item ⋮ Quaternionic hyperfunctions on five-dimensional varieties in \(\mathbb H^2\) ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators ⋮ On non-homogeneous Cauchy-Fueter equations and Hartogs' phenomenon in several quaternionic variables ⋮ Bochner-Martinelli formula for \(k\)-Cauchy-Fueter operator ⋮ Singularities of functions of one and several bicomplex variables ⋮ Octonion analysis of several variables ⋮ The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions ⋮ Invariant resolutions for several Fueter operators ⋮ Rarita-Schwinger type operators in Clifford analysis ⋮ Total differentiability and monogenicity for functions in algebras of order 4 ⋮ On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group ⋮ A surjectivity theorem for differential operators on spaces of regular functions ⋮ Holomorphic synthesis of monogenic functions of several quaternionic variables ⋮ Regular functions of biquaternionic variables and Maxwell's equations ⋮ Special first order systems in Clifford analysis and resolutions.
Cites Work
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- Regular functions of several quaternionic variables
- Syzygies of modules and applications to propagation of regularity phenomena
- Quaternionic complexes
- Sulla struttura delle algebre di Clifford
- A new proof and an extension of Hartog’s theorem
- Sheaves of quaternionic hyperfunctions and microfunctions
- Topologies on quaternionic hyperfunctions and duality theorems
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