Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions
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Publication:2238554
DOI10.1007/s12220-021-00682-5zbMath1482.30119arXiv2010.15089OpenAlexW3160144215MaRDI QIDQ2238554
Irene Sabadini, Xinyuan Dou, Ting Yang, Guang Bin Ren
Publication date: 1 November 2021
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.15089
Taylor seriesoctonionsrepresentation formulaslice regular functionsfunctions of hypercomplex variable
Functions of hypercomplex variables and generalized variables (30G35) Holomorphic functions of several complex variables (32A10)
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Cites Work
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- Slice hyperholomorphic Schur analysis
- Twistor transforms of quaternionic functions and orthogonal complex structures
- An extension theorem for slice monogenic functions and some of its consequences
- Slice regular functions on real alternative algebras
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- Extension results for slice regular functions of a quaternionic variable
- Slice monogenic functions
- Regular functions on the space of Cayley numbers
- Spectral theory on the S-spectrum for quaternionic operators
- Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
- Slice Dirac operator over octonions
- On some properties of the quaternionic functional calculus
- A new theory of regular functions of a quaternionic variable
- A new approach to Cullen-regular functions of a quaternionic variable
- An integral theorem for analytic intrinsic functions on quaternions
- Entire Slice Regular Functions
- Algebraic properties of the module of slice regular functions in several quaternionic variables
- Regular Functions of a Quaternionic Variable
- Slice regular semigroups
- A nonconstant coefficients differential operator associated to slice monogenic functions
- Slice regular functions of several octonionic variables
- A Structure Formula for Slice Monogenic Functions and Some of its Consequences
- Quaternionic de Branges Spaces and Characteristic Operator Function
- Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes