The Szegö equiconvergence theorem for the Laguerre series is improved. In particular, a system of exact sufficient conditions is given.
@article{bwmeta1.element.bwnjournal-article-bcpv27z1p207bwm,
author = {Karadzhov, Georgi},
title = {Equiconvergence theorems for Laguerre series},
journal = {Banach Center Publications},
volume = {27},
year = {1992},
pages = {207-220},
zbl = {0785.40002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p207bwm}
}
Karadzhov, Georgi. Equiconvergence theorems for Laguerre series. Banach Center Publications, Tome 27 (1992) pp. 207-220. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv27z1p207bwm/
[000] [1] M. Fedoryuk, The Saddle-Point Method, Nauka, Moscow 1977 (in Russian). | Zbl 0463.41020
[001] [2] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1983. | Zbl 0521.35001
[002] [3] G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ. 23, 1959.
[003] [4] G. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1966. | Zbl 0174.36202