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Spectral Asymptotics for Fractional Laplacians

In: Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

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  • Victor Ivrii

    (University of Toronto, Department of Mathematics)

Abstract

In this article we consider fractional Laplacians which seem to be of interest to probability theory. This is a rather new class of operators for us but our methods works (with a twist, as usual). Our main goal is to derive a two-term asymptotics since one-term asymptotics is easily obtained by R. Seeley’s method.

Suggested Citation

  • Victor Ivrii, 2019. "Spectral Asymptotics for Fractional Laplacians," Springer Books, in: Microlocal Analysis, Sharp Spectral Asymptotics and Applications V, chapter 0, pages 495-512, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-30561-1_30
    DOI: 10.1007/978-3-030-30561-1_30
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