Monotone Jacobi parameters and non-Szegő weights |
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| Authors: | Yury Kreimer Yoram Last Barry Simon |
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| Institution: | aInstitute of Mathematics, The Hebrew University, 91904 Jerusalem, Israel;bMathematics 253-37, California Institute of Technology, Pasadena, CA 91125, USA |
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| Abstract: | We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Typical of our results is that for an≡1, bn=−Cn−β ( ), one has  on (−2,2), and near x=2,  where |
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| Keywords: | Orthogonal polynomials Schrö dinger operators Spectral weights Szegő condition |
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