Summability of Hermite expansions. I
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- by S. Thangavelu
- Trans. Amer. Math. Soc. 314 (1989), 119-142
- DOI: https://doi.org/10.1090/S0002-9947-1989-99923-2
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Part II: Trans. Amer. Math. Soc. (1) (1989), 143-170
Abstract:
We study the summability of one-dimensional Hermite expansions. We prove that the critical index for the Riesz summability is $1/6$. We also prove analogues of the Fejér-Lebesgue theorem and Riemann’s localisation principle.References
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Bibliographic Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 314 (1989), 119-142
- MSC: Primary 42C10; Secondary 42A24
- DOI: https://doi.org/10.1090/S0002-9947-1989-99923-2
- MathSciNet review: 958904