Real-part estimates for solutions of the Riesz system in ℝ3

DOI10.1080/17476933.2010.504838zbMath1252.30033arXiv1004.1191OpenAlexW2051723049MaRDI QIDQ2892035

Klaus Gürlebeck, João Pedro Morais

Publication date: 18 June 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1191

zbMATH Keywords

Chebyshev polynomialsquaternionic analysisLegendre polynomialsRiesz systemBorel-Carathéodory theoremHadamard's real part theorem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Inequalities in the complex plane (30A10)

Related Items (18)

Generalized holomorphic orthogonal function systems over infinite cylinders ⋮ Computational aspects of the continuum quaternionic wave functions for hydrogen ⋮ Unnamed Item ⋮ Constructing prolate spheroidal quaternion wave functions on the sphere ⋮ Relations among spheroidal and spherical harmonics ⋮ On Hadamard's three‐hyperballs theorem and its applications to Whittaker‐Cannon hypercomplex theory ⋮ Reduced‐quaternion inframonogenic functions on the ball ⋮ Orthogonal Appell bases for Hodge-de Rham systems in Euclidean spaces ⋮ Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains ⋮ Contragenic functions of three variables ⋮ Appell bases for monogenic functions of three variables ⋮ Quaternion Zernike spherical polynomials ⋮ Hadamard three-hyperballs type theorem and overconvergence of special monogenic simple series ⋮ Certain bases of polynomials associated with entire functions in Clifford analysis ⋮ On 3D orthogonal prolate spheroidal monogenics ⋮ ON CONVERGENCE PROPERTIES OF 3D SPHEROIDAL MONOGENICS ⋮ Quaternionic spherical wave functions ⋮ On Riesz systems of harmonic conjugates in R3

Cites Work

• Unnamed Item
• Unnamed Item
• Borel-carathéodory type theorem for monogenic functions
• Bohr type theorems for monogenic power series
• Inequalities for the associated Legendre functions
• Clifford analysis: History and perspective
• On regular-analytic functions with values in a Clifford-algebra
• A Borel-Carathéodory inequality and approximation of entire functions by polynomials with restricted zeros
• On derivatives of spherical monogenics
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• Quaternionic analysis
• A hypercomplex derivative of monogenic functsions in and its Applications
• An abstract approach to Bohr’s phenomenon
• Inégalité de Borel-Carathéodory et lemme de schwarz pour les multifonctions analytiques
• Differentiation of the Martinelli‐Bochner Integrals and the Notion of Hyperderivability
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
• Some theorems on perturbation theory
• On Inequalities for Analytic Functions

This page was built for publication: Real-part estimates for solutions of the Riesz system in ℝ³