• DOI:10.1016/J.MATPUR.2016.10.005
Corpus ID: 119119355

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}
}

J. Delgado, Michael Ruzhansky, N. Tokmagambetov

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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