A structure theorem for fundamental solutions of analytic multipliers in \(\mathbb{R}^n\)

DOI10.1007/S11868-024-00586-2arXiv1912.10511OpenAlexW4392165609MaRDI QIDQ6131250

David Scott Winterrose

Publication date: 4 April 2024

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10511

zbMATH Keywords

PDEfundamental solutionspseudo-differential equations

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Fundamental solutions to PDEs (35A08) Solutions to PDEs in closed form (35C05) Parametrices in context of PDEs (35A17)

Cites Work

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• The analysis of linear partial differential operators. II: Differential operators with constant coefficients
• On the division of distributions by polynomials
• Fundamental solutions of homogeneous elliptic differential operators.
• Distributions and Operators
• Resolution of Singularities and Division of Distributions
• Sur le problème de la division

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