publication . Part of book or chapter of book . Other literature type . Article . 2012

The Spectral Function of an Elliptic Operator

Hörmander, Lars;
Open Access
  • Published: 28 Dec 2012
  • Publisher: Springer Berlin Heidelberg
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.
Subjects
free text keywords: General Mathematics, Spectral theory of ordinary differential equations, Spectral asymmetry, Mathematics, Compact operator, Semi-elliptic operator, Fourier transform, symbols.namesake, symbols, Mathematical analysis, Elliptic function, Elliptic operator, Hypoelliptic operator
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Part of book or chapter of book . 2012
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