Eigenfunction expansions associated with 1d periodic differential operators of order $2n$

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dc.creatorTkachenko, V.
dc.date2006-06-14
dc.date.accessioned2026-07-07T07:17:17Z
dc.date.available2026-07-07T07:17:17Z
dc.descriptionWe prove an explicit formula for the spectral expansions in $L^2(\R)$ generated by selfadjoint differential operators $$ (-1)^n\frac{d^{2n}}{dx^{2n}}+\sum\limits_{j=0}^{n-1}\frac{d^{j}}{dx^{j}} p_j(x)\frac{d^{j}}{dx^{j}},\quad p_j(x+π)=p_j(x),\quad x\in\R. $$
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0606339
dc.identifierhttp://arxiv.org/abs/math/0606339
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113885
dc.subjectSpectral Theory
dc.subjectFunctional Analysis
dc.subject34B05
dc.titleEigenfunction expansions associated with 1d periodic differential operators of order $2n$
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