Quasi-analyticity for hypoelliptic operators

DOI10.1016/0022-0396(85)90021-XzbMath0522.35029MaRDI QIDQ1055971

Ram Shankar Pathak

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

ultradistributionsquasi-analyticityhypoelliptic of Beurling typehypoelliptic operator of Roumieu typeparametrix of the boundary problem

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Geometric theory, characteristics, transformations in context of PDEs (35A30) Hypoelliptic equations (35H10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Cites Work

• On the regularity of the solutions of boundary problems
• Regular semielliptic boundary value problems
• Gevrey classes and hypoelliptic boundary value problems
• Die Nuklearität der Ultradistributionsräume und der Satz vom Kern. I
• Linear partial differential operators and generalized distributions
• On regular hypoelliptic boundary problems
• Corrigenda: Cauchy and Poisson integral representations for ultradistributions of compact support and distributional boundary values
• On the Existence of Fundamental Solutions of Certain Boundary Value Problems
• Solution of Some Problems of Division: Part I. Division by a Polynomial of Derivation
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