Duke Mathematical Journal

Oscillatory integrals with singular symbols

V. Guillemin and G. Uhlmann
Source: Duke Math. J. Volume 48, Number 1 (1981), 251-267.
First Page: Show Hide
Primary Subjects: 58G15
Secondary Subjects: 35S05
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077314493
Mathematical Reviews number (MathSciNet): MR610185
Zentralblatt MATH identifier: 0462.58030
Digital Object Identifier: doi:10.1215/S0012-7094-81-04814-6

References

[1] J. J. Duistermaat, Fourier integral operators, Courant Institute of Mathematical Sciences New York University, New York, 1973.
Mathematical Reviews (MathSciNet): MR56:9600
Zentralblatt MATH: 0272.47028
[2] J. J. Duistermaat and L. Hörmander, Fourier integral operators. II, Acta Math. 128 (1972), no. 3-4, 183–269.
Mathematical Reviews (MathSciNet): MR52:9300
Zentralblatt MATH: 0232.47055
Digital Object Identifier: doi:10.1007/BF02392165
[3] V. Guillemin, Singular symbols, manuscript.
[4] V. Guillemin and S. Sternberg, Geometric asymptotics, American Mathematical Society, Providence, R.I., 1977.
Mathematical Reviews (MathSciNet): MR58:24404
Zentralblatt MATH: 0364.53011
[5] V. Guillemin and S. Sternberg, Some problems in integral geometry and some related problems in microlocal analysis, Amer. J. Math. 101 (1979), no. 4, 915–955.
Mathematical Reviews (MathSciNet): MR82b:58087
Zentralblatt MATH: 0446.58019
Digital Object Identifier: doi:10.2307/2373923
[6] L. Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79–183.
Mathematical Reviews (MathSciNet): MR52:9299
Zentralblatt MATH: 0212.46601
Digital Object Identifier: doi:10.1007/BF02392052
[7] R. B. Melrose and G. A. Uhlmann, Lagrangian intersection and the Cauchy problem, Comm. Pure Appl. Math. 32 (1979), no. 4, 483–519.
Mathematical Reviews (MathSciNet): MR81d:58052
Zentralblatt MATH: 0396.58006
Digital Object Identifier: doi:10.1002/cpa.3160320403
[8] R. B. Melrose and G. A. Uhlmann, Microlocal structure of involutive conical refraction, Duke Math. J. 46 (1979), no. 3, 571–582.
Mathematical Reviews (MathSciNet): MR81b:58044
Zentralblatt MATH: 0422.58026
Digital Object Identifier: doi:10.1215/S0012-7094-79-04630-1
Project Euclid: euclid.dmj/1077313576
[9] G. A. Uhlmann, Parametrices for operators with multiple involutive characteristics, Comm. Partial Differential Equations 4 (1979), no. 7, 739–767.
Mathematical Reviews (MathSciNet): MR81g:58036
Zentralblatt MATH: 0429.35075
Digital Object Identifier: doi:10.1080/03605307908820109

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