Explicit version of the fundamental Ehrenpreis-Malgrange-Palamodov principle in the non-homogeneous case

DOI10.1016/S0021-7824(97)89969-2zbMath0886.46045MaRDI QIDQ1366621

Stéphane Rigat

Publication date: 15 September 1997

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

non-homogeneous caseEhrenpreis-Malgrange-Palamodov principlesystem of linear partial differential equation

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10)

Related Items

Application of the fundamental principle to complex Cauchy problem ⋮ On the integrability of linear and nonlinear partial differential equations

Cites Work

• A shortcut to weighted representation formulas for holomorphic functions
• Henkin-Ramirez kernels with weight factors
• A formula for interpolation and division in \({\mathbb C}^n\).
• Les courants residuels associes à une forme méromorphe
• Integral formulas and an explicit version of the fundamental principle
• On the division of distributions by polynomials
• Fourier integral operators. I
• Residues, currents, and their relation to ideals of holomorphic functions.
• INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS
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