Spectral Projectors and Laplace-Beltrami Unagitated Operator Resolvent on a Three-dimensional Sphere

Abstract

This article considers a Laplace-Beltrami operator on a three-dimensional sphere. To calculate the asymptotics of an agitated operator and its core, it is necessary to first find out the properties of an unagitated operator, in particular, calculate the core of its orthogonal projector on its own subspace.