Symmetries of slice monogenic functions

DOI10.4171/JNCG/387zbMath1468.30083OpenAlexW3093865909MaRDI QIDQ2032777

Irene Sabadini, Fabrizio Colombo, Rolf Sören Krausshar

Publication date: 14 June 2021

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jncg/387

zbMATH Keywords

Möbius transformationsautomorphic formsslice monogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (5)

The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels ⋮ The Fueter-Sce mapping and the Clifford–Appell polynomials ⋮ Slice monogenic functions of a Clifford variable via the 𝑆-functional calculus ⋮ On the slice regular Schwarz derivative ⋮ Towards a general \(\mathcal{F}\)-resolvent equation and Riesz projectors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Slice hyperholomorphic Schur analysis
• Regular Moebius transformations of the space of quaternions
• Slice regular functions on real alternative algebras
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• The inverse Fueter mapping theorem
• An introduction to Dirac operators on manifolds
• The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators
• Function theory in plane and space
• Slice monogenic functions
• Some conformally flat spin manifolds, Dirac operators and automorphic forms
• The Radon transform between monogenic and generalized slice monogenic functions
• Vahlen's group of Clifford matrices and spin-groups
• Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces
• Analysis of Dirac systems and computational algebra.
• Conformally covariant operators in Clifford analysis
• The inverse Fueter mapping theorem in integral form using spherical monogenics
• A new functional calculus for noncommuting operators
• A new theory of regular functions of a quaternionic variable
• Lipschitz monoids and Vahlen matrices
• Entire Slice Regular Functions
• Volume Cauchy formulas for slice functions on real associative *-algebras
• Regular Functions of a Quaternionic Variable
• The Fueter mapping theorem in integral form and the ℱ-functional calculus
• Automorphic Forms: A Physicist's Survey
• Modified clifford analysis
• A new class of hypercomplex analytic cusp forms
• Moebius transformations and the Poincare distance in the quaternionic setting

This page was built for publication: Symmetries of slice monogenic functions