Ir al contenido

Documat


Descomposición de Gauss del producto de armónicas esféricas

  • Estrada, Ricardo [1]
    1. [1] Louisiana State University

      Louisiana State University

      Estados Unidos

  • Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 53, Nº. 1, 2019, págs. 41-56
  • Idioma: español
  • DOI: 10.15446/recolma.v53n1.81037
  • Títulos paralelos:
    • The Gauss decomposition of products of spherical harmonics
  • Enlaces
  • Resumen
    • español

      El producto de dos polinomios armónicos y homogéneos es homogéneo pero no armónico, en general. Damos fórmulas para la descomposición de Gauss del producto de dos polinomios armónicos y homogéneos.

    • English

      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.

  • Referencias bibliográficas
    • G. S. Adkins, Three-dimensional Fourier transforms, integrals of spherical Bessel functions, and novel delta function identities, Bull. Allahabad...
    • G. S. Adkins, Angular decomposition of tensor products of a vector, Indian J. Math. 60 (2018), 65-84.
    • S. Axler, P. Bourdon, and W. Ramey, Harmonic Function Theory, second edition, Springer, New York, 2001.
    • A. Erdélyi, Die Funksche Integralgleichung der Kugelflächenfunktionen und ihre Übertragung auf die Überkugel, Math. Ann. 115 (1938), 456-465.
    • R. Estrada, Regularization and derivatives of multipole potentials, J. Math. Anal. Appls. 446 (2017), 770-785.
    • R. Estrada, The Funk-Hecke formula, harmonic polynomials, and derivatives of radial distributions, Rev. Paranaense de Matematica 37 (2018),...
    • R. Estrada and R. P. Kanwal, Distributional solutions of singular integral equations, J. Int. Eqns. 8 (1985), 41{85.
    • R. Estrada and R. P. Kanwal, A distributional approach to Asymptotics. Theory and Applications, Birkhäuser, Boston, 2002, second edition.
    • R. Estrada and B. Rubin, Radon-John transforms and spherical harmonics, Contemporary Mathematics 714 (2018), https://doi.org/10.1090/conm/714/14329.
    • G. B. Folland, Introduction to Partial Differential Equations, Princeton University Press, Princeton, 1976.
    • P. Funk, Beiträge zur Theorie der Kugelfunktionen, Math. Ann. 77 (1916), 136-152.
    • E. Hecke, Über orthogonal-invariante Integralgleichungen, Math. Ann. 78 (1918), 398-404.
    • E. W. Hobson, Spherical and Ellipsoidal Harmonics, Cambridge Univ. Press, London, 1931.
    • N. M. Nikolov, R. Stora, and I. Todorov, Renormalization of massless Feynman amplitudes in configuration space, Rev. Math. Phys. 26 (2014),...
    • E. Parker, An apparent paradox concerning the field of an ideal dipole, European J. Physics 38 (2017), 025205 (9 pp).
    • B. Rubin, Introduction to Radon transforms (with elements of Fractional calculus and Harmonic Analysis), Cambridge University Press, Cambridge,...
    • Bateman Manuscript Project Staff, Higher transcendental functions, vol 2, McGraw Hill, New York, 1953.
    • J. C. Várilly and J. M. Gracia-Bondía, Stora's fine notion of divergent amplitudes, Nucl. Phys. B 912 (2016), 26-37.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno