Almost everywhere convergence of Laguerre series

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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.