A best possible extension of the Hausdorff-Young theorem
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- by Robert M. Young
- Proc. Amer. Math. Soc. 65 (1977), 97-98
- DOI: https://doi.org/10.1090/S0002-9939-1977-0442572-4
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Abstract:
The purpose of this note is to show that a recent result of A. M. Sedleckiĭ on nonharmonic Fourier series in ${L^p}( - \pi ,\pi )$ has as a simple consequence a “best possible” extension of the classical Hausdorff-Young theorem.References
- William O. Alexander Jr. and Ray Redheffer, The excess of sets of complex exponentials, Duke Math. J. 34 (1967), 59–72. MR 206614
- R. P. Boas Jr., A general moment problem, Amer. J. Math. 63 (1941), 361–370. MR 3848, DOI 10.2307/2371530
- Norman Levinson, Gap and Density Theorems, American Mathematical Society Colloquium Publications, Vol. 26, American Mathematical Society, New York, 1940. MR 0003208
- A. M. Sedleckiĭ, Equivalent sequences in certain function spaces, Izv. Vysš. Učebn. Zaved. Matematika 7(134) (1973), 85–91 (Russian). MR 0333696
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 97-98
- MSC: Primary 42A16
- DOI: https://doi.org/10.1090/S0002-9939-1977-0442572-4
- MathSciNet review: 0442572