English

Krein extension of a differential operator of even order

Spectral Theory 2017-07-24 v1

Abstract

We describe the Krein extension of minimal operator associated with the expression A:=(-1)^n*d^(2n)/dx^(2n) on a finite interval (a,b) in terms of boundary conditions. All non-negative extensions of the operator A as well as extensions with a finite number of negative squares are described.

Keywords

Cite

@article{arxiv.1707.06707,
  title  = {Krein extension of a differential operator of even order},
  author = {Yaroslav Granovskyi and Leonid Oridoroga},
  journal= {arXiv preprint arXiv:1707.06707},
  year   = {2017}
}