Vol. 51, No. 2, 1974

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Laplace transform methods in multivariate spectral theory

Robert F. V. Anderson

Vol. 51 (1974), No. 2, 339–348
Abstract

The Laplace transform of the semigroup exp(tA) generated by an operator A gives the resolvent of A. An integral formula is obtained for the Laplace transform of exp(tA + B), where B is another operator which does not commute with A. The new transform has analytic continuation to the same domain as the resolvent, but the analytic continuation is not single-valued. The integral formula is then applied to the joint spectral theory of noncommutative operators. Explicit compulations with matrices of degree two illustrate the results.

Mathematical Subject Classification 2000
Primary: 47D05
Secondary: 47A60
Milestones
Received: 19 November 1971
Published: 1 April 1974
Authors
Robert F. V. Anderson