Hypo-Analytic Pseudodifferential Operators

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1989Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 105, page 582 (issn: 0002-9939,

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Authors: Berhanu, S.;

doi: 10.2307/2046903 , 10.1090/s0002-9939-1989-0955456-8

Hypo-Analytic Pseudodifferential Operators

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Abstract

Let Ω \Omega be a hypo-analytic manifold of dimension m m equipped with a hypo-analytic structure whose structure bundle T ′ T’ has dimension m m . This paper introduces hypo-analytic pseudodifferential operators and it is shown that such operators preserve the hypo-analyticity of a distribution.

Keywords

hypoanalytic, pseudo-local, Pseudodifferential operators and other generalizations of partial differential operators, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs

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