Year: 2011
Type: preprint
Abstract: We prove the BMV (Bessis, Moussa, Villani, 1975) conjecture, which states that the function t -> Tr exp(A-tB), t \geq 0, is the Laplace transform of a positive measure on [0,\infty) if A and B are n x n Hermitian matrices and B is positive semidefinite. A semi-explicit representation for this measure is given.
Source: arXiv (Cornell University)
Author: Stahl, Herbert R.
Institution: Berliner Hochschule für Technik
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W2949779594