Equiconvergence theorems for Laguerre series

Georgi Karadzhov

Banach Center Publications (1992)

  • Volume: 27, Issue: 1, page 207-220
  • ISSN: 0137-6934

Abstract

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The Szegö equiconvergence theorem for the Laguerre series is improved. In particular, a system of exact sufficient conditions is given.

How to cite

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Karadzhov, Georgi. "Equiconvergence theorems for Laguerre series." Banach Center Publications 27.1 (1992): 207-220. <http://eudml.org/doc/262622>.

@article{Karadzhov1992,
abstract = {The Szegö equiconvergence theorem for the Laguerre series is improved. In particular, a system of exact sufficient conditions is given.},
author = {Karadzhov, Georgi},
journal = {Banach Center Publications},
keywords = {Szegö equiconvergence for Laguerre series},
language = {eng},
number = {1},
pages = {207-220},
title = {Equiconvergence theorems for Laguerre series},
url = {http://eudml.org/doc/262622},
volume = {27},
year = {1992},
}

TY - JOUR
AU - Karadzhov, Georgi
TI - Equiconvergence theorems for Laguerre series
JO - Banach Center Publications
PY - 1992
VL - 27
IS - 1
SP - 207
EP - 220
AB - The Szegö equiconvergence theorem for the Laguerre series is improved. In particular, a system of exact sufficient conditions is given.
LA - eng
KW - Szegö equiconvergence for Laguerre series
UR - http://eudml.org/doc/262622
ER -

References

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  1. [1] M. Fedoryuk, The Saddle-Point Method, Nauka, Moscow 1977 (in Russian). Zbl0463.41020
  2. [2] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1983. Zbl0521.35001
  3. [3] G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ. 23, 1959. 
  4. [4] G. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1966. Zbl0174.36202

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