Hypo-analytic pseudodifferential operators
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- by S. Berhanu PDF
- Proc. Amer. Math. Soc. 105 (1989), 582-588 Request permission
Abstract:
Let $\Omega$ be a hypo-analytic manifold of dimension $m$ equipped with a hypo-analytic structure whose structure bundle $T’$ has dimension $m$. This paper introduces hypo-analytic pseudodifferential operators and it is shown that such operators preserve the hypo-analyticity 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, Thesis, Rutgers University, 1987.
- S. Berhanu, Microlocal hypo-analyticity and hypo-analytic pseudodifferential operators, Proc. Amer. Math. Soc. 105 (1989), no. 3, 594–602. MR 955457, DOI 10.1090/S0002-9939-1989-0955457-X J. Bros and D. Iagolnitzer, Support essentiel et structure analytique des distributions, Séminarie Goulaouic-Lions-Schwartz, 1975-76. No. 18. F. Treves, Hypo-analytic structures (in preparation).
- François Trèves, Introduction to pseudodifferential and Fourier integral operators. Vol. 2, University Series in Mathematics, Plenum Press, New York-London, 1980. Fourier integral operators. MR 597145
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 582-588
- MSC: Primary 35S05; Secondary 35A27, 58G15
- DOI: https://doi.org/10.1090/S0002-9939-1989-0955456-8
- MathSciNet review: 955456