Quadratic divisors of harmonic polynomials in \(\mathbb{R}^n\)

DOI10.1007/BF02791236zbMath0974.31003MaRDI QIDQ5926444

Mark L. Agranovsky, Yakov Krasnov

Publication date: 12 December 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

divisorFuchsian differential equationharmonic polynomialquadratic polynomial

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (10)

On ratios of harmonic functions ⋮ Harmonic divisors and rationality of zeros of Jacobi polynomials ⋮ Harmonic functions vanishing on a cone ⋮ Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations ⋮ The Khavinson-Shapiro conjecture and polynomial decompositions ⋮ Factorization of special harmonic polynomials of three variables ⋮ The Goursat problem for a generalized Helmholtz operator in the plane ⋮ Real Bargmann spaces, Fischer decompositions, and sets of uniqueness for polyharmonic functions ⋮ The Khavinson-Shapiro conjecture for domains with a boundary consisting of algebraic hypersurfaces ⋮ Completely reducible factors of harmonic polynomials of three variables

Cites Work

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• The mixed Cauchy problem for holomorphic partial differential operators
• Expansions in products of Heine-Stieltjes polynomials
• Separable coordinates, integrability and the Niven equations
• A Method of Generating Integral Relations by the Simultaneous Separability of Generalized Schrödinger Equations
• Conical Uniqueness Sets for the Spherical Radon Transform
• The Level Curves of Harmonic Functions
• Research Problems in Complex Analysis

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