2007/12/31 by Alexander Borichev, A. Borichev, Leonid Golinskiĭ +2
Mathematics · Physics and Astronomy · #Blaschke product #Eigenvalues and eigenvectors #Exponential type #Holomorphic and Operator Theory #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Pure mathematics #Spectral Theory in Mathematical Physics #Type (biology) #Unit (ring theory) #math-ph #math.MP #msc:30C15 #msc:47B36
paper · pdf · doi:10.1112/blms/bdn109
a detailed preliminary version; a shorter version is available upon request
arxiv created 2008/01/03 · openalex publication_date 2009/01/24 · arxiv updated 2014/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain a Blaschke-type necessary condition on zeros of analytic functions on the unit disc with different types of exponential growth at the boundary. These conditions are used to prove Lieb–Thirring-type inequalities for the eigenvalues of complex Jacobi matrices.