The spectral function of an elliptic operator

Type: Article

Publication Date: 1968-01-01

Citations: 886

DOI: https://doi.org/10.1007/bf02391913

Abstract

In this paper we shall obtain the best possible estimates for the remainder term in the asymptotic formula for the spectral function of an arbitrary elliptic (pseudo-)differential operator. This is achieved by means of a complete description of the singularities of the Fourier transform of the spectral function for low frequencies.

Locations

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