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- W2949584390 abstract "We prove the following. For any complex valued $L^p$-function $b(x)$, $2 leq p < infty$ or $L^infty$-function with the norm $| b | L^{infty}| < 1$, the spectrum of a perturbed harmonic oscillator operator $L = -d^2/dx^2 + x^2 + b(x)$ in $L^2(mathbb{R}^1)$ is discrete and eventually simple. Its SEAF (system of eigen- and associated functions) is an unconditional basis in $L^2(mathbb{R})$." @default.
- W2949584390 created "2019-06-27" @default.
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- W2949584390 date "2009-12-14" @default.
- W2949584390 modified "2023-09-27" @default.
- W2949584390 title "Eigensystem of an $L^2$-perturbed harmonic oscillator is an unconditional basis" @default.
- W2949584390 hasPublicationYear "2009" @default.
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