Saint Petersburg State University, Russia
Date(s) : 09/05/2016 iCal
10 h 00 min - 11 h 00 min
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 PWa. 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.