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Rotational symmetry of the Hermite projection operators

Author(s): E. Kochneff
Journal: Proc. Amer. Math. Soc. 124 (1996), 1539-1547.
MSC (1991): Primary 33C50, 42C10; Secondary 33C55
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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:

[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 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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