TAUBERIAN THEOREM FOR HARMONIC MEAN OF STIELTJES TRANSFORMS AND ITS APPLICATIONS TO LINEAR DIFFUSIONS

Autor: Kasahara, Yuji, Kotani, Shin'ichi
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Osaka J. Math. 53, no. 1 (2016), 221-251
ISSN: 0030-6126
Popis: When two Radon measures on the half line are given, the harmonic mean of their Stieltjes transforms is again the Stieltjes transform of a Radon measure. We study the relationship between the asymptotic behavior of the resulting measure and those of the original ones. The problem comes from the spectral theory of second--order differential operators and the results are applied to linear diffusions neither boundaries of which is regular.
Databáze: OpenAIRE