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Proceedings of the American Mathematical Society

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A canonical transformation near a boundary point


Author: L. Sarason
Journal: Proc. Amer. Math. Soc. 48 (1975), 189-192
MSC: Primary 35A30; Secondary 35S05, 47G05
DOI: https://doi.org/10.1090/S0002-9939-1975-0380067-5
MathSciNet review: 0380067
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Abstract: A local homogeneous canonical transformation is constructed which straightens a curved boundary and freezes the coefficients of the principal part of a pseudo-differential operator in the neighborhood of a nonglancing ray.


References [Enhancements On Off] (What's this?)

  • [1] J. J. Duistermaat and L. Hörmander, Fourier integral operators. II, Acta Math. 128 (1972), no. 3-4, 183–269. MR 0388464, https://doi.org/10.1007/BF02392165
  • [2] Lars Hörmander, On the existence and the regularity of solutions of linear pseudo-differential equations, Enseignement Math. (2) 17 (1971), 99–163. MR 0331124
  • [3] Louis Nirenberg, Lectures on linear partial differential equations, American Mathematical Society, Providence, R.I., 1973. Expository Lectures from the CBMS Regional Conference held at the Texas Technological University, Lubbock, Tex., May 22–26, 1972; Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 17. MR 0450755

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DOI: https://doi.org/10.1090/S0002-9939-1975-0380067-5
Article copyright: © Copyright 1975 American Mathematical Society