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Some trigonometric extremal problems and duality
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we present a minimax theorem of infinite dimension. The result contains several earlier duality results for various trigonometrical extremal problems including a problem of Fejér. Also the present duality theorem plays a crucial role in the determination of the exact number of zeros of certain Beurling zeta functions, and hence leads to a considerable generalization of the classical Beurling's Prime Number Theorem. The proof used functional analysis.
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- Research Article
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- Copyright © Australian Mathematical Society 1991
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