Spectral heat content for Lévy processes

Tomasz Grzywny, Hyunchul Park and Renming Song

Mathematische Nachrichten, 2019, vol. 292, issue 4, 805-825

Abstract: In this paper we study the spectral heat content for various Lévy processes. We establish the small time asymptotic behavior of the spectral heat content for Lévy processes of bounded variation in Rd, d≥1. We also study the spectral heat content for arbitrary open sets of finite Lebesgue measure in R with respect to symmetric Lévy processes of unbounded variation under certain conditions on their characteristic exponents. Finally, we establish that the small time asymptotic behavior of the spectral heat content is stable under integrable perturbations to the Lévy measure.

Date: 2019
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https://doi.org/10.1002/mana.201800035

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:292:y:2019:i:4:p:805-825

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