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Harmonic polynomials and the divisibility problem

Author: V. V. Karachik
Journal: Proc. Amer. Math. Soc. 125 (1997), 3257-3258
MSC (1991): Primary 31A05; Secondary 11C08
MathSciNet review: 1403135
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Abstract | References | Similar Articles | Additional Information

Abstract: An easy way to construct a fist harmonic polynomial component of any polynomial is given.

References [Enhancements On Off] (What's this?)

  • V. V. Karachik, Polynomial solutions of systems of linear differential equations, Voprosy Vychisl. i Prikl. Mat. (Tashkent) 82 (1987), 41–48, 130 (Russian). MR 1066676
  • Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, Princeton, N.J., 1971. Princeton Mathematical Series, No. 32. MR 0304972

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Additional Information

V. V. Karachik
Affiliation: Institute of Cybernetics of the Academy of Science of Uzbekistan, 34, F. Hodzhaev St., Tashkent, 700143, Uzbekistan
ORCID: 0000-0002-3077-3595

Keywords: Harmonic polynomials, divisibility
Received by editor(s): June 9, 1995
Received by editor(s) in revised form: May 9, 1996
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1997 American Mathematical Society