Almost everywhere convergence of Laguerre series

Chang-Pao Chen; Chin-Cheng Lin

Studia Mathematica (1994)

  • Volume: 109, Issue: 3, page 291-301
  • ISSN: 0039-3223

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Chen, Chang-Pao, and Lin, Chin-Cheng. "Almost everywhere convergence of Laguerre series." Studia Mathematica 109.3 (1994): 291-301. <http://eudml.org/doc/216075>.

@article{Chen1994,
abstract = {},
author = {Chen, Chang-Pao, Lin, Chin-Cheng},
journal = {Studia Mathematica},
keywords = {almost everywhere convergence; Cesàro means; Laguerre polynomials; Riesz means; Laguerre series},
language = {eng},
number = {3},
pages = {291-301},
title = {Almost everywhere convergence of Laguerre series},
url = {http://eudml.org/doc/216075},
volume = {109},
year = {1994},
}

TY - JOUR
AU - Chen, Chang-Pao
AU - Lin, Chin-Cheng
TI - Almost everywhere convergence of Laguerre series
JO - Studia Mathematica
PY - 1994
VL - 109
IS - 3
SP - 291
EP - 301
AB -
LA - eng
KW - almost everywhere convergence; Cesàro means; Laguerre polynomials; Riesz means; Laguerre series
UR - http://eudml.org/doc/216075
ER -

References

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  1. [1] R. Askey and S. Wainger, Mean convergence of expansions in Laguerre and Hermite series, Amer. J. Math. 87 (1965), 695-708. Zbl0125.31301
  2. [2] C.-P. Chen, L 1 -convergence of Fourier series, J. Austral. Math. Soc. Ser. A 41 (1986), 376-390. Zbl0642.42005
  3. [3] C.-P. Chen, Pointwise convergence of trigonometric series, ibid. 43 (1987), 291-300. 
  4. [4] J. Długosz, Almost everywhere convergence of some summability methods for Laguerre series, Studia Math. 82 (1985), 199-209. Zbl0574.42020
  5. [5] G. H. Hardy, Divergent Series, Oxford Univ. Press, London, 1973. 
  6. [6] B. Muckenhoupt, Poisson integrals for Hermite and Laguerre expansions, Trans. Amer. Math. Soc. 139 (1969), 231-242. Zbl0175.12602
  7. [7] B. Muckenhoupt, Mean convergence of Hermite and Laguerre series I, ibid. 147 (1970), 419-431. Zbl0191.07602
  8. [8] B. Muckenhoupt, Mean convergence of Hermite and Laguerre series II, ibid. 433-460. 
  9. [9] G. Sansone, Orthogonal Functions, Yale Univ. Press, New Haven, Conn., 1959. Zbl0084.06106
  10. [10] K. Stempak, Mean summability methods for Laguerre series, Trans. Amer. Math. Soc. 322 (1990), 671-690. Zbl0713.42024
  11. [11] K. Stempak, Almost everywhere summability of Laguerre series, Studia Math. 100 (1991), 129-147. Zbl0731.42027
  12. [12] K. Stempak, Almost everywhere summability of Laguerre series II, ibid. 103 (1992), 317-327. Zbl0808.42016
  13. [13] G. Szegö, Orthogonal Polynomials, 3rd ed., Amer. Math. Soc., Providence, R.I., 1974. 

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