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APPLICATIONS OF AN INTERSECTION FORMULA TO DUAL CONES
Part of:
Abstract harmonic analysis
Published online by Cambridge University Press: 17 October 2017
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.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 97 , Issue 1 , February 2018 , pp. 94 - 101
- Copyright
- © 2017 Australian Mathematical Publishing Association Inc.
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