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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Harmonic polynomials and the divisibility problem

Author(s): V. V. Karachik
Journal: Proc. Amer. Math. Soc. 125 (1997), 3257-3258.
MSC (1991): Primary 31A05; Secondary 11C08
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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:

1.
V. V. Karachik, O polinomialnyh reshenijah sistem linejnyh differenzialnyh uravnenij. Voprosi Vychislitelnoy i prikladnoy matematiki. v.82, Tashkent, 1987, s.41-48. MR 91f:34008

2.
E. M. Stein, G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton, New Jersey, Princeton University Press, 1971. MR 46:4102


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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
Email: karachik@uwed.freenet.uz

DOI: 10.1090/S0002-9939-97-03963-4
PII: S 0002-9939(97)03963-4
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
Copyright of article: Copyright 1997, American Mathematical Society


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