Abstract
We obtain sharp conditions for the absolute uniform convergence of Fourier series in the eigenfunctions of the Schrödinger operator with Kato potential in a bounded domain for functions lying in the domains of generalized fractional powers of the original Schrödinger operator or in generalized Besov classes with a sharp exponent.
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Translated fromMaternaticheskie Zametki, Vol. 67, No. 5, pp. 755–763, May, 2000.
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Serov, V.S. The convergence of fourier series in eigenfunctions of the Schrödinger operator with Kato potential. Math Notes 67, 639–645 (2000). https://doi.org/10.1007/BF02676337
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DOI: https://doi.org/10.1007/BF02676337