Nonharmonic analysis of boundary value problems without WZ condition
Functional Analysis
2016-10-10 v1 Analysis of PDEs
Spectral Theory
Abstract
In this work we continue our research on nonharmonic analysis of boundary value problems as initiated in our recent paper (IMRN 2016). There, we assumed that the eigenfunctions of the model operator on which the construction is based do not have zeros. In this paper we have weakened this condition extending the applicability of the developed pseudo-differential analysis. Also, we do not assume that the underlying set is bounded.
Keywords
Cite
@article{arxiv.1610.02159,
title = {Nonharmonic analysis of boundary value problems without WZ condition},
author = {Michael Ruzhansky and Niyaz Tokmagambetov},
journal= {arXiv preprint arXiv:1610.02159},
year = {2016}
}
Comments
28 pages; the paper is an extension of our previous paper [arXiv:1504.00777]. Now we remove the WZ condition imposed in that paper as well as allow the domain to be unbounded. We also recapture some of the previous results here without proofs