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
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.
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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Other literature type . 1968
Part of book or chapter of book . 2012
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