Slice-by-slice and global smoothness of slice regular and polyanalytic functions
From MaRDI portal
Publication:2082733
DOI10.1007/s10231-022-01209-7OpenAlexW3105593594MaRDI QIDQ2082733
Publication date: 4 October 2022
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.09919
Related Items (3)
Quaternionic slice regularity beyond slice domains ⋮ Spectral properties of weighted Cauchy singular integral transform on S-poly-Bargmann spaces ⋮ \(\ast\)-logarithm for slice regular functions
Cites Work
- Unnamed Item
- Unnamed Item
- Singularities of slice regular functions over real alternative \(^{\ast}\)-algebras
- Twistor transforms of quaternionic functions and orthogonal complex structures
- The quaternionic evolution operator
- Slice regular functions on real alternative algebras
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators
- Extension results for slice regular functions of a quaternionic variable
- Slice monogenic functions
- Twistor interpretation of slice regular functions
- On slice polyanalytic functions of a quaternionic variable
- Geometric function theory over quaternionic slice domains
- Correction to: ``On slice polyanalytic functions of a quaternionic variable
- Slice regular functions in several variables
- Almansi theorem and mean value formula for quaternionic slice-regular functions
- A new theory of regular functions of a quaternionic variable
- A new approach to Cullen-regular functions of a quaternionic variable
- Distributions and the global operator of slice monogenic functions
- Slice-polynomial functions and twistor geometry of ruled surfaces in \(\mathbb {CP}^3\)
- On a class of orientation-preserving maps of \(\mathbb{R}^4\)
- Semigroups over real alternative *-algebras: Generation theorems and spherical sectorial operators
- The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
- CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
- Regular Functions of a Quaternionic Variable
- The algebra of slice functions
- Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs
- Slice regular semigroups
- A nonconstant coefficients differential operator associated to slice monogenic functions
- Zeros of slice functions and polynomials over dual quaternions
- On the global operator and Fueter mapping theorem for slice polyanalytic functions
- Slice Regularity and Harmonicity on Clifford Algebras
- A Structure Formula for Slice Monogenic Functions and Some of its Consequences
- Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one
- Global differential equations for slice regular functions
This page was built for publication: Slice-by-slice and global smoothness of slice regular and polyanalytic functions
