Problèmes de Cauchy globaux

DOI10.24033/bsmf.2180zbMath0799.47031OpenAlexW2478845618MaRDI QIDQ4017132

A. Meril, Alain Yger

Publication date: 16 January 1993

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1992__120_1_87_0

zbMATH Keywords

surjectivityspace of entire functionsMathieu functions

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (5)

Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations ⋮ A Fischer type decomposition theorem from the apolar inner product ⋮ Application of functional calculus to complex Cauchy problems ⋮ Interpolation by series of exponential functions whose exponents are condensed in a certain direction ⋮ Fischer decompositions for entire functions and the Dirichlet problem for parabolas

Cites Work

• Holomorphic functions on the complex sphere
• A shortcut to weighted representation formulas for holomorphic functions
• A formula for interpolation and division in \({\mathbb C}^n\).
• Sur les points singuliers des équations différentielles
• Integral formulas and an explicit version of the fundamental principle
• An Algebraic Theorem of E. Fischer, and the Holomorphic Goursat Problem
• Localizable Analytically Uniform Spaces and the Fundamental Principle
• Equivalence of Cauchy Problems for Entire and Exponential Type Functions
• Prolongement des solutions d'une équation aux dérivées partielles à coefficients constants
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