The spectral function of an elliptic operator

1968/01/01 by Lars Hörmander · 56 citations
Engineering · Computer Science · Mathematics · #Physics and Engineering Research Articles #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis

paper · pdf · doi: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.

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