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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On exact quadrature formulas for harmonic functions on polyhedra
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by Björn Gustafsson and Mihai Putinar
Proc. Amer. Math. Soc. 128 (2000), 1427-1432
DOI: https://doi.org/10.1090/S0002-9939-99-05295-8
Published electronically: October 27, 1999
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Abstract:

A classical quadrature result for analytic functions of a complex variable due to Motzkin and Schoenberg is extended to higher dimensions. A general scheme for integrating on polyhedra solutions of partial differential equations is discussed.
References
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Bibliographic Information
  • Björn Gustafsson
  • Affiliation: Department of Mathematics, Royal Institute of Technology, S-10044 Stockholm, Sweden
  • Email: gbjorn@math.kth.se
  • Mihai Putinar
  • Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
  • MR Author ID: 142835
  • Email: mputinar@math.ucsb.edu
  • Received by editor(s): July 2, 1998
  • Published electronically: October 27, 1999
  • Additional Notes: This research was partially supported by the National Science Foundation Grant DMS-9800666.
  • Communicated by: David R. Larson
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 1427-1432
  • MSC (2000): Primary 65D32
  • DOI: https://doi.org/10.1090/S0002-9939-99-05295-8
  • MathSciNet review: 1662233