Existence of sets of uniqueness of $l^{p}$ for general orthonormal systems
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- by Leonardo Colzani PDF
- Proc. Amer. Math. Soc. 83 (1981), 569-572 Request permission
Abstract:
It is proved that for every orthonormal complete system in ${L^2}(0,1)$ there exists a set $A$, of measure arbitrarily close to 1, which carries no nonzero function with Fourier transform in ${l^p}$, for every $p < 2$.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 569-572
- MSC: Primary 42C15; Secondary 42C25
- DOI: https://doi.org/10.1090/S0002-9939-1981-0627694-8
- MathSciNet review: 627694