Article ID Journal Published Year Pages File Type
6417696 Journal of Mathematical Analysis and Applications 2016 11 Pages PDF
Abstract

We show that for a Jacobi operator with coefficients whose (j+1)'th moments are summable the j'th derivative of the scattering matrix is in the Wiener algebra of functions with summable Fourier coefficients. We use this result to improve the known dispersive estimates with integrable time decay for the time dependent Jacobi equation in the resonant case.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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