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Harmonic polynomials and Dirichlet-type problems


Authors: Sheldon Axler and Wade Ramey
Journal: Proc. Amer. Math. Soc. 123 (1995), 3765-3773
MSC: Primary 31B05; Secondary 31B20
DOI: https://doi.org/10.1090/S0002-9939-1995-1277092-1
MathSciNet review: 1277092
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Abstract: We take a new approach to harmonic polynomials via differentiation.


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

  • [1] Sheldon Axler, Paul Bourdon, and Wade Ramey, Harmonic function theory, Graduate Texts in Math., Springer-Verlag, Berlin and New York, 1992. MR 1184139 (93f:31001)
  • [2] Ronald R. Coifman and Guido Weiss, Analyse harmonique non-commutative sur certains espaces homogenes, Lecture Notes in Math., Springer-Verlag, Berlin and New York, 1971. MR 0499948 (58:17690)
  • [3] E. W. Hobson, The theory of spherical and ellipsoidal harmonics, Cambridge Univ. Press, London and New York, 1931.
  • [4] Mirosław Krzyżański, Partial differential equations of second order, Polish Scientific Publishers, Warsaw, 1971.
  • [5] Russell Lyons and Kevin Zumbrun, Homogeneous partial derivatives of radial functions, Proc. Amer. Math. Soc. 121 (1994), 315-316. MR 1227524 (94g:26017)
  • [6] Elias M. Stein and Guido Weiss, Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton, NJ, 1971. MR 0304972 (46:4102)
  • [7] John Wermer, Potential theory, Lecture Notes in Math., Springer-Verlag, Berlin and New York, 1974. MR 0454033 (56:12284)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1277092-1
Article copyright: © Copyright 1995 American Mathematical Society

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