J Austral Math Soc Ser A 50 pp384--390, 1991.

Some Trigonometric Extremal Problems and Duality

Szilárd Gy. Révész

(Received 30 August 1989; revised 19 February 1990)

Abstract

In this paper we present a minimax theorem of infinite dimension. The result contains several earlier duality results for various trigonometric 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.

1980 AMS Subject Classification (1985 Revision): primary 42A05; secondary 46B25

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Authors

Szilárd Gy. Révész: Mathematical Institute, Hungarian Academy of Sciences, Budapest, POB 127, 1364, Hungary.

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Last Modified: Mon Feb 3 9:46:09 2003