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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Integration and homogeneous functions
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by Jean B. Lasserre PDF
Proc. Amer. Math. Soc. 127 (1999), 813-818 Request permission

Abstract:

We show that integrating a (positively) homogeneous function $f$ on a compact domain $\Omega \subset R^n$ reduces to integrating a related function on the boundary $\partial {\Omega }$. The formula simplifies when the boundary $\partial {\Omega }$ is determined by homogeneous functions. Similar results are also presented for integration of exponentials and logarithms of homogeneous functions.
References
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Additional Information
  • Jean B. Lasserre
  • Affiliation: LAAS-CNRS, 7 Avenue du Colonel Roche, 31077 Toulouse Cédex 4, France
  • MR Author ID: 110545
  • Email: lasserre@laas.fr
  • Received by editor(s): July 8, 1997
  • Communicated by: David H. Sharp
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 813-818
  • MSC (1991): Primary 65D30
  • DOI: https://doi.org/10.1090/S0002-9939-99-04930-8
  • MathSciNet review: 1610733