Évènement

Roman Bessonov
Saint Petersburg State University, Russia
https://scholar.google.com/citations?user=J9kp3s0AAAAJ&hl=th

Date(s) : 09/05/2016   iCal
10h00 - 11h00

Let μ be an even measure on the real line such that c₁∫ |f|²dx ≤∫ |f|²dμ ≤ c₂∫ |f|²dx for all functions f in the Paley-Wiener space PW_a. We prove that μ is the spectral measure for the unique Hamiltonian = on [0,a] generated by a weight w from the Muckenhoupt class A₂[0,a]. As a consequence of this result, we construct Krein’s orthogonal entire functions with respect to μ and prove that every positive, bounded, invertible Wiener-Hopf operator on [0,a] with real symbol admits triangular factorization.

https://arxiv.org/abs/1603.07533

Catégories

• Séminaire