Norm Resolvent Convergence of Discretized Fourier Multipliers
نویسندگان
چکیده
We prove norm estimates for the difference of resolvents operators and their discrete counterparts, embedded into continuum using biorthogonal Riesz sequences. The are given in operator on square integrable functions, depend explicitly mesh size operators. a sum Fourier multiplier multiplicative potential. multipliers include fractional Laplacian pseudo-relativistic free Hamiltonian. potentials real, bounded, Hölder continuous. As side-product, Hausdorff distance between spectra continuous decays with same rate as resolvent estimates. result holds original local distance.
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2021
ISSN: ['1531-5851', '1069-5869']
DOI: https://doi.org/10.1007/s00041-021-09876-5