Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients
Analysis of PDEs
2009-01-13 v1 Functional Analysis
Abstract
In this paper we study weighted Hardy-Sobolev spaces of vector valued functions analytic on double-napped cones of the complex plane. We introduce these spaces as a tool for complex scaling of linear ordinary differential equations with dilation analytic unbounded operator coefficients. As examples we consider boundary value problems in cylindrical domains and domains with quasicylindrical ends.
Keywords
Cite
@article{arxiv.0901.1615,
title = {Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients},
author = {Victor Kalvin},
journal= {arXiv preprint arXiv:0901.1615},
year = {2009}
}
Comments
75 pp