# Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary

@article{Delgado2015SchattenCN,
title={Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary},
author={J. Delgado and Michael Ruzhansky and N. Tokmagambetov},
journal={arXiv: Analysis of PDEs},
year={2015}
}
• Published 2015
• Mathematics
• arXiv: Analysis of PDEs
• 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… CONTINUE READING
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