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• W2302788268 abstract "Given a compact manifold $M$ with boundary $partial M$, in this paper we introduce a global symbolic calculus of pseudo-differential operators associated to $(M,partial M)$. The symbols of operators with boundary conditions on $partial M$ are defined in terms of the biorthogonal expansions in eigenfunctions of a fixed operator $L$ with the same boundary conditions on $partial M$. The boundary $partial M$ is allowed to have (arbitrary) singularities. As an application, several criteria for the membership in Schatten classes on $L^2(M)$ and $r$-nuclearity on $L^p(M)$ are obtained. We also describe a new addition to the Grothendieck-Lidskii formula in this setting. Examples and applications are given to operators on $M=[0,1]^n$ with non-periodic boundary conditions, and of operators with non-local boundary conditions." @default.
• W2302788268 created "2016-06-24" @default.
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• W2302788268 date "2015-05-09" @default.
• W2302788268 modified "2023-09-26" @default.
• W2302788268 title "Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary" @default.
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