Published April 2000
| Version Submitted
Journal Article
Open
On Local Borg–Marchenko Uniqueness Results
Creators
-
1.
University of Missouri
-
2.
California Institute of Technology
Abstract
We provide a new short proof of the following fact, first proved by one of us in 1998: If two Weyl–Titchmarsh m-functions, m_j(z), of two Schrödinger operators, H_j = -d^2/dx^2 + q_j, j = 1,2 in L^2((O,R)), O < R ≤ ∞, are exponentially close, that is, |m_1(z) - m_2(z)|_|z|→∞ = O(e^(-2 IM(z^1/2)a), O < ɑ
Additional Information
© 2000 Springer-Verlag. Received: 22 October 1999; Accepted: 2 November 1999. This material is based upon work supported by the National Science Foundation under Grant No. DMS-9707661. F. G. thanks T. Tombrello for the hospitality of Caltech where this work was done.Attached Files
Submitted - 9910089v1.pdf
Files
9910089v1.pdf
Additional details
Identifiers
- Eprint ID
- 79655
- DOI
- 10.1007/s002200050812
- Resolver ID
- CaltechAUTHORS:20170801-072515055
Related works
- Describes
- https://arxiv.org/abs/math/9910089 (URL)
Funding
- NSF
- DMS-9707661
Dates
- Created
-
2017-08-01Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department