Abstract
The product of two homogeneous harmonic polynomials is homogeneous, but not harmonic, in general. We give formulas for the Gauss decomposition of the product of two homogeneous harmonic polynomials.
Publisher
Universidad Nacional de Colombia
Reference18 articles.
1. G. S. Adkins, Three-dimensional Fourier transforms, integrals of spherical Bessel functions, and novel delta function identities, Bull. Allahabad Math. Soc. 31 (2016), 215-246.
2. G. S. Adkins, Angular decomposition of tensor products of a vector, Indian J. Math. 60 (2018), 65-84.
3. S. Axler, P. Bourdon, and W. Ramey, Harmonic Function Theory, second edition, Springer, New York, 2001.
4. A. Erdélyi, Die Funksche Integralgleichung der Kugelflächenfunktionen und ihre Übertragung auf die Überkugel, Math. Ann. 115 (1938), 456-465.
5. R. Estrada, Regularization and derivatives of multipole potentials, J. Math. Anal. Appls. 446 (2017), 770-785.
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