Trace functions as Laplace transforms

Frank Hansen

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

We study trace functions on the form t→Tr f(A+tB) where f is a real function defined on the positive half-line, and A and B are matrices such that A is positive definite and B is positive semidefinite. If f is non-negative and operator monotone decreasing, then such a trace function can be written as the Laplace transform of a positive measure. The question is related to the Bessis-Moussa-Villani conjecture.

Original languageEnglish
Article number043504
JournalJournal of Mathematical Physics
Volume47
Issue number4
DOIs
Publication statusPublished - 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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