论文信息 - SOME EXTREMAL FUNCTIONS IN FOURIER ANALYSIS

SOME EXTREMAL FUNCTIONS IN FOURIER ANALYSIS

Moreover, he showed that there is equality in (1.4) if and only if F(z) = B(z). As an application Beurling found an interesting inequahty for almost periodic functions (we include it here in Theorem 15), but his results were never published. In 1974 A. Selberg used the function B(z) to obtain a sharp form of the large sieve inequahty. Selberg noted that if XE() ^ t r i e characteristic function of the interval E = [a, /?] and

J. Vaaler

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