The Pompeiu formula for slice hyperholomorphic functions

DOI10.1307/MMJ/1301586309zbMath1246.30079OpenAlexW2052178937MaRDI QIDQ538016

Daniele C. Struppa, Irene Sabadini, Fabrizio Colombo

Publication date: 23 May 2011

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1301586309

zbMATH Keywords

Pompeiu formulaslice hyperholomorphic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (7)

Slice regular functions on real alternative algebras ⋮ The Weierstrass factorization theorem for slice regular functions over the quaternions ⋮ The Runge theorem for slice hyperholomorphic functions ⋮ The Bohr Theorem for slice regular functions ⋮ Noncommutative Cauchy integral formula ⋮ Entire Slice Regular Functions ⋮ Volume Cauchy formulas for slice functions on real associative *-algebras

Cites Work

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• A new approach to Cullen-regular functions of a quaternionic variable
• Duality theorems for slice hyperholomorphic functions
• Quaternionic analysis
• A Structure Formula for Slice Monogenic Functions and Some of its Consequences

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