The Cauchy integral formulas on the octonions.
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Publication:700060
zbMath1068.30037MaRDI QIDQ700060
Publication date: 28 November 2002
Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.bbms/1102715140
Functions of hypercomplex variables and generalized variables (30G35) Nonassociative division algebras (17A35)
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The right inverse of Dirac operator in octonionic space ⋮ Three-line theorem on the octonions ⋮ Cauchy-Riemann operators in octonionic analysis ⋮ The octonionic Bergman kernel for the unit ball ⋮ On \(k\)-analytic functions of an octonionic variable ⋮ A note on Laurent series of the octonionic analytic functions ⋮ Differential topological aspects in octonionic monogenic function theory ⋮ Cauchy formulae and Hardy spaces in discrete octonionic analysis ⋮ Glimpses of the octonions and quaternions history and today's applications in quantum physics ⋮ The octonionic Bergman kernel for the half space ⋮ The Laurent series on the octonions ⋮ Extension and tangential CRF conditions in quaternionic analysis ⋮ Cauchy integrals on Lipschitz surfaces in octonionic space ⋮ A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions ⋮ Octonionic Kerzman-Stein operators ⋮ Inhomogeneous Cauchy-Riemann equation in octonion space ⋮ Octonion analysis of several variables ⋮ Split octonionic Cauchy integral formula ⋮ Orthonormal basis of the octonionic analytic functions ⋮ On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group ⋮ The corresponding Cauchy-Riemann system for dual quaternion-valued functions ⋮ Function theories in Cayley-Dickson algebras and number theory ⋮ Orthogonal invariance of the Dirac operator and the critical index of subharmonicity for octonionic analytic functions ⋮ The all-associativity of octonions and its applications ⋮ The Paley-Wiener theorem in the non-commutative and non-associative octonions
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