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math.SP2012★ 1 cited
Asymptotics of large eigenvalues for a class of band matrices
Anne Boutet de Monvel, Jan Janas, Lech Zielinski
We investigate the asymptotic behaviour of large eigenvalues for a class of finite difference self-adjoint operators with compact resolvent in .
math.SP2010
Weyl-Titchmarsh type formula for discrete Schroedinger operator with Wigner-von Neumann potential
Jan Janas, Sergey Simonov
We consider discrete Schroedinger operator J with Wigner-von Neumann potential not belonging to l^2. We find asymptotics of orthonormal polynomials associated to J. We prove the We…
math.SP2007
Decay bounds on eigenfunctions and the singular spectrum of unbounded Jacobi matrices
Jan Janas, Serguei Naboko, Günter Stolz
Bounds on the exponential decay of generalized eigenfunctions of bounded and unbounded selfadjoint Jacobi matrices are established. Two cases are considered separately: (i) the cas…