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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Pseudodifferential calculus on manifolds with corners and groupoids
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by Bertrand Monthubert PDF
Proc. Amer. Math. Soc. 127 (1999), 2871-2881 Request permission

Erratum: Proc. Amer. Math. Soc. 128 (2000), 627-627.

Abstract:

We build a longitudinally smooth, differentiable groupoid associated to any manifold with corners. The pseudodifferential calculus on this groupoid coincides with the pseudodifferential calculus of Melrose (also called $b$-calculus). We also define an algebra of rapidly decreasing functions on this groupoid; it contains the kernels of the smoothing operators of the (small) $b$-calculus.
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Additional Information
  • Bertrand Monthubert
  • Affiliation: Laboratoire Emile Picard, UFR MIG, Universite Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4, France
  • Email: monthube@picard.ups_rlse.fr
  • Received by editor(s): September 16, 1997
  • Received by editor(s) in revised form: December 3, 1997
  • Published electronically: April 23, 1999
  • Communicated by: Christopher D. Sogge
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2871-2881
  • MSC (1991): Primary 35S15, 47G30, 22A22; Secondary 46L80, 19K56
  • DOI: https://doi.org/10.1090/S0002-9939-99-04850-9
  • MathSciNet review: 1600121