The Spectral Function of an Elliptic Operator

L. Hörmander

A chapter in Mathematics Past and Present Fourier Integral Operators, 1994, pp 217-242 from Springer

Abstract: 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.

Keywords: Differential Operator; Compact Subset; Spectral Function; Phase Function; Elliptic Operator (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-03030-1_4

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DOI: 10.1007/978-3-662-03030-1_4

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