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Spectral Asymptotics for Fractional Laplacians

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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.

This research was supported in part by National Science and Engineering Research Council (Canada) Discovery Grant RGPIN 13827.

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Correspondence to Victor Ivrii .

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Ivrii, V. (2019). Spectral Asymptotics for Fractional Laplacians. In: Microlocal Analysis, Sharp Spectral Asymptotics and Applications V. Springer, Cham. https://doi.org/10.1007/978-3-030-30561-1_30

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