Spectral Asymptotics for Fractional Laplacians

2016/03/21 by Victor Ivrii, Ivrii, Victor
Computer Science · Mathematics · #35P20 #81Q20 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1603.06364

openalex publication_date 2016/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 as one-term asymptotics is easily obtained by R.~Seeley's method.

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