Microlocal analysis of partial differential operators with irregular singularities

DOI10.3792/pjaa.57.485zbMath0512.58031OpenAlexW2028954764MaRDI QIDQ1049989

Keisuke Uchikoshi

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.485

zbMATH Keywords

asymptotic expansioncharacteristic exponentsmicrolocal analysisholomorphic microlocal operators

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Relations of PDEs on manifolds with hyperfunctions (58J15)

Cites Work

• An invariant measuring the irregularity of a differential operator and a microdifferential operator
• Systems of differential equations with regular singularities and their boundary value problems
• Invertibility of microdifferential operators of infinite order
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
• Parametrixes pour une classe d'operateurs hypoelliptiques
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