Fourier integral operators with weighted symbols and micro-local resolvent estimates

Hitoshi KITADA

doi:10.2969/jmsj/03930455

Hitoshi KITADA

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JOURNAL FREE ACCESS

1987 Volume 39 Issue 3 Pages 455-476

DOI https://doi.org/10.2969/jmsj/03930455

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Published: 1987 Received: December 13, 1985 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to the memory of Hitoshi Kumano-go

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. P. Calderón and R. Vaillancourt, A class of bounded pseudodiff erential operators, Proc. Nat. Acad. Sci. U.S.A., 69 (1972), 1185-1187.
2) H. Isozaki and H. Kitada, Modified wave operators with time-independent modifiers, J. Fac. Sci. Univ. Tokyo Sect. IA, 32 (1985), 77-104.
3) H. Isozaki, and H. Kitada, Micro-local resolvent estimates for 2-body Schrödinger operators, J. Functional Anal., 57 (1984), 270-300.
4) H. Isozaki and H. Kitada, A remark on the microlocal resolvent estimates for two body Schrödinger operators, Publ. RIMS Kyoto Univ., 21 (1985), 889-910.
5) H. Isozaki and H. Kitada, Scattering matrices for two-body Schrödinger operators, Sci. Papers College Arts Sci. Univ. Tokyo, 35 (1985), 81-107.
6) H. Kitada and H. Kumano-go, A family of Fourier integral operators and the fundamental solution for a Schrödinger equation, Osaka J. Math., 18 (1981), 291-360.
7) H. Kumano-go, Pseudo Differential Operators, MIT Press, Cambridge, Massachusets and London, England (1983).
8) S. T. Kuroda, An Introduction to Scattering Theory, Aarhus Lecture Notes Series No. 51, Aarhus Univ., (October 1978).
9) Y. Saito, The principle of limiting absorption for the non-selfadjoint Schrödinger operators in R^N(N≠2), Publ. RIMS Kyoto Univ., 9 (1974), 397-428.

Right : [1] A. P. Calderón and R. Vaillancourt, A class of bounded pseudodifferential operators, Proc. Nat. Acad. Sci. U. S. A., 69 (1972), 1185-1187.
[2] H. Isozaki and H. Kitada, Modified wave operators with time-independent modifiers, J. Fac. Sci. Univ. Tokyo Sect. IA, 32 (1985), 77-104.
[3] H. Isozaki, and H. Kitada, Micro-local resolvent estimates for 2-body Schrödinger operators, J. Functional Anal., 57 (1984), 270-300.
[4] H. Isozaki and H. Kitada, A remark on the microlocal resolvent estimates for two body Schrödinger operators, Publ. RIMS Kyoto Univ., 21 (1985), 889-910.
[5] H. Isozaki and H. Kitada, Scattering matrices for two-body Schrödinger operators, Sci. Papers College Arts Sci. Univ. Tokyo, 35 (1985), 81-107.
[6] H. Kitada and H. Kumano-go, A family of Fourier integral operators and the fundamental solution for a Schrödinger equation, Osaka J. Math., 18 (1981), 291-360.
[7] H. Kumano-go, Pseudo Differential Operators, MIT Press, Cambridge, Massachusets and London, England (1983).
[8] S. T. Kuroda, An Introduction to Scattering Theory, Aarhus Lecture Notes Series No. 51, Aarhus Univ., (October 1978).
[9] Y. Saito, The principle of limiting absorption for the non-selfadjoint Schrödinger operators in R^N(N≠2), Publ. RIMS Kyoto Univ., 9 (1974), 397-428.

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