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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