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Rotational symmetry of the Hermite projection operators


Author: E. Kochneff
Journal: Proc. Amer. Math. Soc. 124 (1996), 1539-1547
MSC (1991): Primary 33C50, 42C10; Secondary 33C55
DOI: https://doi.org/10.1090/S0002-9939-96-03189-9
MathSciNet review: 1307540
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Abstract: We calculate an integral formula for the Hermite projection operators. We give some applications of our formula. We also give a short proof of a recent theorem of Thangavelu.


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

  • [Sz] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ., vol. 23, Amer. Math. Soc., Providence, RI, 1975. MR 51:8724
  • [T] S. Thangavelu, Hermite expansions on $R^n$ for radial functions, Proc. Amer. Math. Soc. 118 (1993), 1097--1102. MR 93j:42016
  • [T2] ------, Lectures on Hermite and Laguerre expansions, Princeton Univ. Press, Princeton, NJ, 1993. MR 94i:42001
  • [SW] E. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton, NJ, 1981,

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Additional Information

E. Kochneff
Affiliation: Department of Mathematics, Eastern Washington University, Cheney, Washington 99004
Email: ekochneff@ewu.edu

DOI: https://doi.org/10.1090/S0002-9939-96-03189-9
Keywords: Fourier transform, spherical harmonics, Hermite and Laguerre polynomials
Received by editor(s): November 4, 1994
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1996 American Mathematical Society

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