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2. The convergence of fourier series in eigenfunctions of the Schrödinger operator with Kato potential

Author

V. S. Serov

Subjects
Generalized Fourier series, General Mathematics, Operator (physics), Normal convergence, Uniform convergence, Mathematical analysis, Fourier inversion theorem, Function series, Modes of convergence, Fourier series, Mathematics
Abstract

We obtain sharp conditions for the absolute uniform convergence of Fourier series in the eigenfunctions of the Schrodinger operator with Kato potential in a bounded domain for functions lying in the domains of generalized fractional powers of the original Schrodinger operator or in generalized Besov classes with a sharp exponent.

Published
2000

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