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APPLICATIONS OF AN INTERSECTION FORMULA TO DUAL CONES

Published online by Cambridge University Press:  17 October 2017

DÁNIEL VIROSZTEK*
Affiliation:
Department of Analysis, Institute of Mathematics, Budapest University of Technology and Economics, H-1521 Budapest, Hungary MTA-DE ‘Lendület’ Functional Analysis Research Group, Institute of Mathematics, University of Debrecen, PO Box 400, H-4002 Debrecen, Hungary email [email protected]
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Abstract

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We give a succinct proof of a duality theorem obtained by Révész [‘Some trigonometric extremal problems and duality’, J. Aust. Math. Soc. Ser. A 50 (1991), 384–390] which concerns extremal quantities related to trigonometric polynomials. The key tool of our new proof is an intersection formula on dual cones in real Banach spaces. We show another application of this intersection formula which is related to integral estimates of nonnegative positive-definite functions.

Type
Research Article
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

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