Power and spherical series over real alternative *-algebras

DOI10.1512/iumj.2014.63.5227zbMath1308.30057arXiv1302.5536OpenAlexW2045398435MaRDI QIDQ5174994

Alessandro Perotti, Riccardo Ghiloni

Publication date: 19 February 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5536

zbMATH Keywords

power seriesClifford algebrasquaternionsalternative algebrasslice regular functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (17)

Approximation by polynomials on quaternionic compact sets ⋮ Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras ⋮ Slice regular functions in several variables ⋮ s-regular functions which preserve a complex slice ⋮ Slice Fueter-regular functions ⋮ Twistor interpretation of slice regular functions ⋮ Slice Regularity and Harmonicity on Clifford Algebras ⋮ On the real differential of a slice regular function ⋮ The algebra of slice functions ⋮ Slice regular semigroups ⋮ Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras ⋮ Implementing zonal harmonics with the Fueter principle ⋮ Noncommutative Cauchy integral formula ⋮ Spherical coefficients of slice regular functions ⋮ Log-biharmonicity and a Jensen formula in the space of quaternions ⋮ Slice regular functions and orthogonal complex structures over \(\mathbb{R}^8\) ⋮ Universality properties of the quaternionic power series and entire functions

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