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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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Riemann-Hilbert problems with constraints
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by Florian Bertrand and Giuseppe Della Sala PDF
Proc. Amer. Math. Soc. 147 (2019), 2123-2131 Request permission

Abstract:

This paper is devoted to Riemann-Hilbert problems with constraints. We obtain results characterizing the existence of solutions as well as the dimension of the solution space in terms of certain indices. The results of this paper are particularly adapted to the study of stationary discs attached to CR manifolds.
References
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Additional Information
  • Florian Bertrand
  • Affiliation: Department of Mathematics, Fellow at the Center for Advanced Mathematical Sciences, American University of Beirut, Beirut, Lebanon
  • MR Author ID: 821365
  • Email: fb31@aub.edu.lb
  • Giuseppe Della Sala
  • Affiliation: Department of Mathematics, Fellow at the Center for Advanced Mathematical Sciences, American University of Beirut, Beirut, Lebanon
  • MR Author ID: 794044
  • Email: gd16@aub.edu.lb
  • Received by editor(s): April 19, 2018
  • Received by editor(s) in revised form: August 16, 2018
  • Published electronically: January 29, 2019
  • Additional Notes: Research of the two authors was supported by a fellowship at the Center for Advanced Mathematical Sciences (CAMS)
    The second author was partially supported by the Austrian Science Fund FWF grant P24878 N25.
  • Communicated by: Filippo Bracci
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 2123-2131
  • MSC (2010): Primary 32A30, 30E25, 35Q15
  • DOI: https://doi.org/10.1090/proc/14390
  • MathSciNet review: 3937687