Nonharmonic Analysis of Boundary Value Problems

@article{Ruzhansky2015NonharmonicAO,
  title={Nonharmonic Analysis of Boundary Value Problems},
  author={M. Ruzhansky and N. Tokmagambetov},
  journal={International Mathematics Research Notices},
  year={2015},
  volume={2016},
  pages={3548-3615}
}
  • M. Ruzhansky, N. Tokmagambetov
  • Published 2015
  • Mathematics
  • International Mathematics Research Notices
  • In this paper, we develop the global symbolic calculus of pseudo-differential operators generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) differential operator. For this, we also establish elements of a non-self-adjoint distribution theory and the corresponding biorthogonal Fourier analysis. There are no assumptions on the regularity of the boundary which is allowed to have arbitrary singularities. We give applications of the developed analysis to… CONTINUE READING

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