Mean convergence of Hermite and Laguerre series. I
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- by Benjamin Muckenhoupt
- Trans. Amer. Math. Soc. 147 (1970), 419-431
- DOI: https://doi.org/10.1090/S0002-9947-1970-99933-9
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Part II: Trans. Amer. Math. Soc. (2) (1970), 433-460
References
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- A. Erdélyi, Asymptotic forms for Laguerre polynomials, J. Indian Math. Soc. (N.S.) 24 (1960), 235–250 (1961). MR 123751
- Harry Pollard, The mean convergence of orthogonal series. II, Trans. Amer. Math. Soc. 63 (1948), 355–367. MR 23941, DOI 10.1090/S0002-9947-1948-0023941-X
- Gabor Szegö, Orthogonal polynomials, American Mathematical Society Colloquium Publications, Vol. 23, American Mathematical Society, Providence, R.I., 1959. Revised ed. MR 0106295
- A. Zygmund, Trigonometric series: Vols. I, II, Cambridge University Press, London-New York, 1968. Second edition, reprinted with corrections and some additions. MR 0236587
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 147 (1970), 419-431
- MSC: Primary 42.16
- DOI: https://doi.org/10.1090/S0002-9947-1970-99933-9
- MathSciNet review: 0256051