Microlocal hypo-analyticity and hypo-analytic pseudodifferential operators
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- by S. Berhanu PDF
- Proc. Amer. Math. Soc. 105 (1989), 594-602 Request permission
Abstract:
Let $A$ be a hypo-analytic pseudodifferential operator on a hypoanalytic manifold $\Omega$ of maximal dimension. It is proved here that the operator $A$ decreases the hypo-analytic wave front set of a distribution.References
- M. S. Baouendi, C. H. Chang, and F. Trèves, Microlocal hypo-analyticity and extension of CR functions, J. Differential Geom. 18 (1983), no. 3, 331–391. MR 723811
- S. Berhanu, Hypo-analytic pseudodifferential operators, Proc. Amer. Math. Soc. 105 (1989), no. 3, 582–588. MR 955456, DOI 10.1090/S0002-9939-1989-0955456-8 —, Hypo-analytic pseudodifferential Operators, Dissertation, Rutgers University, 1987. J. Bros and D. Iagolnitzer, Support essentiel et structure analytique des distributions, Seminarie Goulaouic-Lions-Schwartz, 1975-76, No. 18. M. Sato, Hyperfunction and partial differential equations, Proc. Int. Conf. Funct. Anal. Tokyo (1969), 91-94.
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 594-602
- MSC: Primary 35S05; Secondary 35A27, 58G15
- DOI: https://doi.org/10.1090/S0002-9939-1989-0955457-X
- MathSciNet review: 955457