Vol. 111, No. 1, 1984

Recent Issues
Vol. 311: 1
Vol. 310: 1  2
Vol. 309: 1  2
Vol. 308: 1  2
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Inverse spectral problems for certain differential operators

Roderic Murufas

Vol. 111 (1984), No. 1, 179–207
Abstract

Let L0 be a given differential operator with spectral matrix (ρij0). There is a concept of “closeness to (ρij0)” such that for every positive matrix measure (ρij) which is “close to (ρij0)” there exists some differential operator L for which (ρij) is a spectral matrix and there exists a potentially computational technique by which L may be constructed from (ρij) and (ρij0). The formulation of the “closeness to (ρij0)” concept and the presentation of the techniques by which L may be constructed from (ρij) and (ρij0) are referred to as the local inverse spectral problem, which is the subject of this paper.

Mathematical Subject Classification 2000
Primary: 34A55
Secondary: 47E05, 34B25
Milestones
Received: 27 January 1982
Revised: 14 September 1982
Published: 1 March 1984
Authors
Roderic Murufas