CaltechAUTHORS
  A Caltech Library Service

Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum

Gesztesy, Fritz and Simon, Barry (2000) Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum. Transactions of the American Mathematical Society, 352 (6). pp. 2765-2787. ISSN 0002-9947. http://resolver.caltech.edu/CaltechAUTHORS:20180511-153128441

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20180511-153128441

Abstract

We discuss results where the discrete spectrum (or partial information on the discrete spectrum) and partial information on the potential q of a one-dimensional Schrödinger operator H = -(d^(2)/(dx^(2)) + q determine the potential completely. Included are theorems for finite intervals and for the whole line. In particular, we pose and solve a new type of inverse spectral problem involving fractions of the eigenvalues of H on a finite interval and knowledge of q over a corresponding fraction of the interval. The methods employed rest on Weyl m-function techniques and densities of zeros of a class of entire functions.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1090/S0002-9947-99-02544-1 DOIArticle
https://www.jstor.org/stable/118231JSTORArticle
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
Additional Information:© Copyright 2000 by the Authors. Received by the editors October 9, 1997. This material is based upon work supported by the National Science Foundation under Grant Nos. DMS-9623121 and DMS-9401491.
Funders:
Funding AgencyGrant Number
NSFDMS-9623121
NSFDMS-9401491
Classification Code:2000 Mathematics Subject Classification. Primary 34A55, 34L40; Secondary 34B20.
Record Number:CaltechAUTHORS:20180511-153128441
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180511-153128441
Official Citation:Gesztesy, F., & Simon, B. (2000). Inverse Spectral Analysis with Partial Information on the Potential, II. The Case of Discrete Spectrum. Transactions of the American Mathematical Society, 352(6), 2765-2787.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86374
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:11 May 2018 22:36
Last Modified:14 May 2018 14:40

Repository Staff Only: item control page