A Fischer type decomposition theorem from the apolar inner product

DOI10.1007/s13324-023-00844-4OpenAlexW4388669920MaRDI QIDQ6186705

Hermann Render, Jésus M. Aldaz

Publication date: 9 January 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-023-00844-4

zbMATH Keywords

polynomialsentire functions of several variablesFischer decompositionFischer pair

Mathematics Subject Classification ID

Entire functions of several complex variables (32A15) Polynomials and rational functions of several complex variables (32A08)

Cites Work

• Unnamed Item
• A characterization of the Khavinson-Shapiro conjecture via Fischer operators
• The Khavinson-Shapiro conjecture and polynomial decompositions
• The Goursat problem for a generalized Helmholtz operator in the plane
• The Dirichlet problem when the boundary function is entire
• Fischer decomposition for a class of inhomogeneous polynomials
• The mixed Cauchy problem for holomorphic partial differential operators
• Fischer decompositions for entire functions and the Dirichlet problem for parabolas
• Real Bargmann spaces, Fischer decompositions, and sets of uniqueness for polyharmonic functions
• On a Hilbert space of analytic functions and an associated integral transform part I
• An Algebraic Theorem of E. Fischer, and the Holomorphic Goursat Problem
• On the mixed Cauchy problem with data on singular conics
• Problèmes de Cauchy globaux
• Dirichlet's Problem When the Data is an Entire Function
• The cauchy-kowalevskaya theorem and generalizations
• Chu's 1303 Identity Implies Bombieri's 1990 Norm-Inequality (Via an Identity of Beauzamy and Degot)
• Equivalence of Cauchy Problems for Entire and Exponential Type Functions
• Certain Hilbert spaces of entire functions

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