On geometric aspects of quaternionic and octonionic slice regular functions
From MaRDI portal
Publication:1747532
DOI10.1007/s12220-017-9784-5zbMath1404.30057arXiv1512.01414OpenAlexW2338576612MaRDI QIDQ1747532
Publication date: 8 May 2018
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.01414
Functions of hypercomplex variables and generalized variables (30G35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)
Related Items (4)
Slice spirallike functions over quaternions ⋮ Division algebras of slice functions ⋮ Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras ⋮ Slice regular functions and orthogonal complex structures over \(\mathbb{R}^8\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras
- Slice hyperholomorphic Schur analysis
- Landau-Toeplitz theorems for slice regular functions over quaternions
- A new series expansion for slice regular functions
- Twistor transforms of quaternionic functions and orthogonal complex structures
- Regular Moebius transformations of the space of quaternions
- 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
- Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect
- Extension results for slice regular functions of a quaternionic variable
- Slice monogenic functions
- On octonionic polynomials
- The Radon transform between monogenic and generalized slice monogenic functions
- Regular functions on the space of Cayley numbers
- Zeros of regular functions and polynomials of a quaternionic variable
- Boundary distortion estimates for holomorphic maps
- Carathéodory theorems for slice regular functions
- Growth and distortion theorems for slice monogenic functions
- A new theory of regular functions of a quaternionic variable
- A new approach to Cullen-regular functions of a quaternionic variable
- Semigroups over real alternative *-algebras: Generation theorems and spherical sectorial operators
- Julia theory for slice regular functions
- Volume Cauchy formulas for slice functions on real associative *-algebras
- Singularities of slice regular functions
- Regular Functions of a Quaternionic Variable
- The algebra of slice functions
- Area, capacity and diameter versions of Schwarz’s Lemma
- Poles of regular quaternionic functions
- Angular derivatives via hilbert space
- A sharp Schwarz inequality on the boundary
- The Schwarz-Pick lemma for slice regular functions
- Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem
- Global differential equations for slice regular functions
This page was built for publication: On geometric aspects of quaternionic and octonionic slice regular functions