Rotational symmetry of the Hermite projection operators
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- by E. Kochneff PDF
- Proc. Amer. Math. Soc. 124 (1996), 1539-1547 Request permission
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 ThangaveluReferences
- Gábor Szegő, Orthogonal polynomials, 4th ed., American Mathematical Society Colloquium Publications, Vol. XXIII, American Mathematical Society, Providence, R.I., 1975. MR 0372517
- S. Thangavelu, Hermite expansions on $\textbf {R}^n$ for radial functions, Proc. Amer. Math. Soc. 118 (1993), no. 4, 1097–1102. MR 1137236, DOI 10.1090/S0002-9939-1993-1137236-7
- Sundaram Thangavelu, Lectures on Hermite and Laguerre expansions, Mathematical Notes, vol. 42, Princeton University Press, Princeton, NJ, 1993. With a preface by Robert S. Strichartz. MR 1215939, DOI 10.1515/9780691213927
- E. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton, NJ, 1981,
Additional Information
- E. Kochneff
- Affiliation: Department of Mathematics, Eastern Washington University, Cheney, Washington 99004
- Email: ekochneff@ewu.edu
- Received by editor(s): November 4, 1994
- Communicated by: J. Marshall Ash
- © Copyright 1996 American Mathematical Society
- 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