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5 papers
Green matrix estimates of block Jacobi matrices II: Bounded gap in the essential spectrum
Jan Janas, Sergey Naboko, Luis O. Silva
This paper provides decay bounds for Green matrices and generalized eigenvectors of block Jacobi operators when the real part of the spectral parameter lies in a bounded gap of the…
Green matrix estimates of block Jacobi matrices I: Unbounded gap in the essential spectrum
Jan Janas, Sergey Naboko, Luis O. Silva
This work deals with decay bounds for Green matrices and generalized eigenvectors of block Jacobi matrices when the real part of the spectral parameter lies in an infinite gap of t…
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 .
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…
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…