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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A generalized Bessel inequality


Author: Elena Prestini
Journal: Proc. Amer. Math. Soc. 83 (1981), 99-102
MSC: Primary 42A20; Secondary 42A24
MathSciNet review: 619991
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Abstract: To any pair of diadic intervals $ [I,\omega ]$ with / Q $ I \subseteq [0,1]$ and $ \omega = [{N_\omega },{N_\omega } + \vert I{\vert^{ - 1}})$ we associate the function $ {u_{[I,\omega ]}}(x) = \vert I{\vert^{ - 1/2}}{e^{i{N_w}x}}{\chi _I}(x)$. In this paper we will give a condition under which a collection $ B$ of such pairs satisfies the inequality $ B$ for any $ ab$ in $ f$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0619991-7
PII: S 0002-9939(1981)0619991-7
Article copyright: © Copyright 1981 American Mathematical Society