English

Self-adjointness of Cauchy singular integral operator

Functional Analysis 2007-05-23 v2 Complex Variables

Abstract

We extend Krupnik's criterion of self-adjointness of the Cauchy singular integral operator to the case of finitely connected domains. The main aim of the paper is to present a new approach for proof of the criterion.

Cite

@article{arxiv.math/0506517,
  title  = {Self-adjointness of Cauchy singular integral operator},
  author = {Alexey Tikhonov},
  journal= {arXiv preprint arXiv:math/0506517},
  year   = {2007}
}

Comments

5 pages ; added references; result extended to the case of finitely connected domains