On the Bochner-Riesz means of critical order
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Abstract:
Stein’s well-known logarithmic asymptotics of the Lebesgue constants of the Bochner-Riesz means of critical order is extended to Lebesgue constants of more general linear means of multiple Fourier series. These means are generated by certain class of functions supported in convex domains with boundaries of non-vanishing Gaussian curvature.References
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Additional Information
- E. R. Liflyand
- Affiliation: Department of Mathematics and Computer Science, Bar Ilan University, Ramat Gan, 52900, Israel
- MR Author ID: 339337
- ORCID: 0000-0001-5938-9434
- Email: liflyand@bimacs.cs.biu.ac.il
- Received by editor(s): January 4, 1994
- Received by editor(s) in revised form: November 27, 1995
- Additional Notes: The author acknowledges the support of the Minerva Foundation in Germany through the Emmy Noether Institute in Bar-Ilan University.
- Communicated by: J. Marshall Ash
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1443-1450
- MSC (1991): Primary 42A24
- DOI: https://doi.org/10.1090/S0002-9939-97-03742-8
- MathSciNet review: 1371133