A counter example on nontangential convergence for oscillatory integrals

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dc.creatorJohansson, Karoline
dc.date2008-06-09
dc.date.accessioned2026-07-07T09:43:23Z
dc.date.available2026-07-07T09:43:23Z
dc.descriptionConsider the solution of the time-dependent Schr{ö}dinger equation with initial data $f$. It is shown in \cite{artikel} that there exists $f$ in the Sobolev space $H^s(\RR), s=n/2$ such that tangential convergence can not be widened to convergence regions. In this paper we show that the corresponding result holds when $-Δ_x$ is replaced by an operator $ϕ(D)$, with special conditions on $ϕ$.
dc.identifierhttps://arxiv.org/abs/0806.1453
dc.identifierhttp://arxiv.org/abs/0806.1453
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162535
dc.subjectAnalysis of PDEs
dc.titleA counter example on nontangential convergence for oscillatory integrals
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