|
On one set of orthogonal harmonic polynomials
Author(s):
V.
V.
Karachik
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3513-3519.
MSC (1991):
Primary 33D30;
Secondary 33D25, 31B05
MathSciNet review:
1621957
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
A new basis of harmonic polynomials is given. Proposed polynomials are orthogonal on the unit sphere and each term of this basis consists of monomials not present in the others.
References:
- 1.
- E.M.Stein and G.Weiss, Introduction to Fourier Analysis on Euclidian Spaces, Princeton Univ. Press, Princeton, NJ, 1971. MR 46:4102
- 2.
- V.V.Karachik, O polinomialnyh reshenijah sistem linejnyh differenzialnyh uravnenij, Voprosi Vychislitelnoy i prikladnoy matematiki 82 (1987), 41-48 (Russian).
- 3.
- P.Pedersen, A basis for polynomial solutions to the systems of linear constant coefficient PDE's, Advances Math., Article No.0005 117 (1996), 157-163. MR 96k:35018
- 4.
- H.Bateman and A.Erdélyi, Higher Transcendental Functions, vol. 2, New York, 1953.
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
33D30,
33D25, 31B05
Retrieve articles in all Journals with
MSC (1991):
33D30,
33D25, 31B05
Additional Information:
V.
V.
Karachik
Affiliation:
Institute of Cybernetics of Academy of Science of Uzbekistan, 34, F.Hodzhaev St., Tashkent, 700143, Uzbekistan
Email:
karachik@uwed.freenet.uz
DOI:
10.1090/S0002-9939-98-05019-9
PII:
S 0002-9939(98)05019-9
Keywords:
Harmonic polynomials,
orthogonality
Received by editor(s):
December 3, 1996
Communicated by:
J. Marshall Ash
Copyright of article:
Copyright
1998,
American Mathematical Society
|
