Axial monogenic functions from holomorphic functions

DOI10.1006/jmaa.1993.1372zbMath0802.30001OpenAlexW2078123450MaRDI QIDQ1323103

A. K. Common, Fransiscus Sommen

Publication date: 27 November 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1372

zbMATH Keywords

Dirac operatorGegenbauer polynomialsHermite polynomials

Mathematics Subject Classification ID

Monogenic and polygenic functions of one complex variable (30A05)

Related Items (14)

A polyanalytic functional calculus of order 2 on the 𝑆-spectrum ⋮ Slice Fueter-regular functions ⋮ The Fueter primitive of biaxially monogenic functions ⋮ Riemann-Hilbert problems for monogenic functions on upper half ball of \({\mathbb {R}}^4\) ⋮ On Hadamard's three‐hyperballs theorem and its applications to Whittaker‐Cannon hypercomplex theory ⋮ The inverse Fueter mapping theorem in integral form using spherical monogenics ⋮ Holomorphic approximation of \(L_2\)-functions on the unit sphere in \(\mathbb R^3\) ⋮ Fueter's theorem for monogenic functions in biaxial symmetric domains ⋮ Szegö-Radon transform for biaxially monogenic functions ⋮ Further results on the inverse base of axially monogenic polynomials ⋮ Clifford analysis in two and several vector variables ⋮ Axially harmonic functions and the harmonic functional calculus on the \(S\)-spectrum ⋮ On operators and elementary functions in Clifford analysis ⋮ Bargmann–Radon transform for axially monogenic functions

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