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Geometric upper bounds

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1522)

Abstract

In this third chapter, we will prove results giving a geometric upper bound for the singular spectrum, and for the second microsupport along a lagrangian submanifold, of distributions defined as boundary values of convenient ramified functions. The estimates we will obtain will depend just on the geometric data of the problem, that is on the (singular) hypersurface around which the distribution under consideration is ramified.

Keywords

  • Lagrangian Submanifold
  • Analytic Manifold
  • Real Analytic Manifold
  • Subanalytic Function
  • Conic Subset

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1992 Springer-Verlag Berlin Heidelberg

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Delort, JM. (1992). Geometric upper bounds. In: F.B.I. Transformation. Lecture Notes in Mathematics, vol 1522. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21539-5_4

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  • DOI: https://doi.org/10.1007/978-3-662-21539-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55764-7

  • Online ISBN: 978-3-662-21539-5

  • eBook Packages: Springer Book Archive