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 products of harmonic polynomials
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by Tomas Schonbek
Proc. Amer. Math. Soc. 110 (1990), 371-375
DOI: https://doi.org/10.1090/S0002-9939-1990-1021903-7

Abstract:

We prove that every polynomial in $n$ variables, $n \geq 2$, is a finite sum of terms, each of which is the product of two harmonic polynomials. This strengthens a result obtained by A. G Ramm in [1].
References
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Bibliographic Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 371-375
  • MSC: Primary 31B05
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1021903-7
  • MathSciNet review: 1021903