On the factorization formula for fundamental solutions in the inverse spectral transform
Functional Analysis
2012-11-29 v1 Analysis of PDEs
Spectral Theory
Exactly Solvable and Integrable Systems
Abstract
A factorization formula for wave functions, which is basic in the inverse spectral transform approach to initial-boundary value problems, is proved in greater generality than before. Applications follow. Related compatibility questions for the GBDT version of B\"acklund-Darboux transformation are treated too.
Cite
@article{arxiv.1006.4482,
title = {On the factorization formula for fundamental solutions in the inverse spectral transform},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:1006.4482},
year = {2012}
}