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- W1632334343 abstract "Small perturbations of the Jacobi matrix with weights sqrt n and zero diagonal are considered. A formula relating the asymptotics of polynomials of the first kind to the spectral density is obtained, which is analogue of the classical Weyl-Titchmarsh formula for the Schroedinger operator on the half-line with summable potential. Additionally a base of generalized eigenvectors for free Hermite operator is studied and asymptotics of Plancherel-Rotach type are obtained." @default.
- W1632334343 created "2016-06-24" @default.
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- W1632334343 date "2010-03-18" @default.
- W1632334343 modified "2023-09-27" @default.
- W1632334343 title "Weyl-Titchmarsh type formula for Hermite operator with small perturbation" @default.
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