Type: Article
Publication Date: 1968-01-01
Citations: 886
DOI: https://doi.org/10.1007/bf02391913
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.