Spectral Asymptotics for Fractional Laplacians

  • Victor IvriiEmail author


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.

Key words and phrases

Fractional Laplacians spectral asymptotics 

2010 Mathematics Subject Classification:

35P20 58J50 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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