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In this work, spectral expansions of the Schrodinger operator −Δ+q(y1,y2) with the singular potential from W21(Ω) are investigated. Using the asymptotical estimation of spectral function of Schrodinger operator on closed domain uniformly convergence of eigenfunction expansions of continuous functions from Nikolskii classes is proved. Properties of the continuous functions from Nikolskii classes are used.

aip conference proceedings

Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain