English

Completeness of generalized transmission eigenstates

Spectral Theory 2017-10-04 v1

Abstract

We prove the completeness of the generalized (interior) transmission eigenstates for the acoustic and Schr\"odinger equations. The method uses the ellipticity theory of Agranovich and Vishik.

Cite

@article{arxiv.1307.4863,
  title  = {Completeness of generalized transmission eigenstates},
  author = {Eemeli Blåsten and Lassi Päivärinta},
  journal= {arXiv preprint arXiv:1307.4863},
  year   = {2017}
}
R2 v1 2026-06-22T00:53:34.983Z