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Article Dans Une Revue Journal of the London Mathematical Society Année : 2017

On semibounded Wiener-Hopf operators

Résumé

We show that a semibounded Wiener-Hopf quadratic form is closable in the space $L^2({\Bbb R}_{+})$ if and only if its integral kernel is the Fourier transform of an absolutely continuous measure. This allows us to define semibounded Wiener-Hopf operators and their symbols under minimal assumptions on their integral kernels. Our proof relies on a continuous analogue of the Riesz Brothers theorem obtained in the paper.

Dates et versions

hal-01342784 , version 1 (06-07-2016)

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Citer

Dimitri R Yafaev. On semibounded Wiener-Hopf operators. Journal of the London Mathematical Society, 2017, 95 (3), pp.742-762. ⟨10.1112/jlms.12036⟩. ⟨hal-01342784⟩
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