An inverse problem for weighted Paley-Wiener spaces

作者：Bessonov R V^*; Romanov R V

来源：Inverse Problems, 2016, 32(11): 115007.

DOI：10.1088/0266-5611/32/11/115007

• canonical Hamiltonian system
• Dirac system
• inverse problem
• de Branges space
• truncated toeplitz operator

Let mu be a measure on the real line R such that integral(R) d mu(t)/1 + t(2) < infinity and let a > 0. Assume that the norms parallel to f parallel to(2)(L)((R)) and parallel to f parallel to(2)(L)((mu)) are comparable for functions f in the Paley-Wiener space PWa and that PWa is dense in L-2(mu). We reconstruct the canonical Hamiltonian system JX' = zHX such that mu (i)s the spectral measure for this system.

• 出版日期2016-11