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The Spectral Function of an Elliptic Operator

In: Mathematics Past and Present Fourier Integral Operators

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  • L. Hörmander

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.

Suggested Citation

  • L. Hörmander, 1994. "The Spectral Function of an Elliptic Operator," Springer Books, in: Jochen Brüning & Victor W. Guillemin (ed.), Mathematics Past and Present Fourier Integral Operators, pages 217-242, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-03030-1_4
    DOI: 10.1007/978-3-662-03030-1_4
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