The Weierstrass factorization theorem for slice regular functions over the quaternions

DOI10.1007/s10455-011-9266-0zbMath1246.30081OpenAlexW2028825376MaRDI QIDQ652583

Irene Vignozzi, Graziano Gentili

Publication date: 14 December 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-011-9266-0

zbMATH Keywords

slice regular functionsWeierstrass factorization theorem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Power series (including lacunary series) in one complex variable (30B10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items

s-regular functions which preserve a complex slice ⋮ Slice conformality and Riemann manifolds on quaternions and octonions ⋮ On a continuation of quaternionic and octonionic logarithm along curves and the winding number ⋮ Finite Blaschke products over quaternions: unitary realizations and zero structure ⋮ Landau’s theorem for slice regular functions on the quaternionic unit ball ⋮ A Bloch-Landau Theorem for Slice Regular Functions ⋮ An interpolation theorem for slice-regular functions with application to very tame sets and slice Fatou-Bieberbach domains in \(\mathbb{H}^2\). Interpolation theorem and slice Fatou-Bieberbach domains in \(\mathbb{H}^2\)

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