Transcendental operators acting on slice regular functions

DOI10.1515/conop-2022-0002OpenAlexW4213390687MaRDI QIDQ2078335

Chiara de Fabritiis

Publication date: 28 February 2022

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/conop-2022-0002

zbMATH Keywords

slice-regular functions\(^\star\) sine and cosine\(^\star\)-exponential\(^\star\)-logarithm\(^\star\)-product of slice-regular functions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Functions of hypercomplex variables and generalized variables (30G35) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

• Unnamed Item
• Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras
• Slice regular functions on real alternative algebras
• s-regular functions which preserve a complex slice
• Applications of the Sylvester operator in the space of slice semi-regular functions
• Equivalence of slice semi-regular functions via Sylvester operators
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• Slice-polynomial functions and twistor geometry of ruled surfaces in \(\mathbb {CP}^3\)
• Entire Slice Regular Functions
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• The C-property for slice regular functions and applications to the Bergman space
• Regular Functions of a Quaternionic Variable
• The algebra of slice functions
• Division algebras of slice functions
• $*$-exponential of slice-regular functions
• Some properties for quaternionic slice regular functions on domains without real points

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