The Spectrum of Positive Elliptic Operators and Periodic Bicharacteristics

J. J. Duistermaat and V. W. Guillemin

A chapter in Mathematics Past and Present Fourier Integral Operators, 1994, pp 243-283 from Springer

Abstract: Abstract Let X be a compact boundaryless C ∞ manifold and let P be a positive elliptic self-adjoint pseudodifferential operator of order m>0 on X. For technical reasons we will assume that P operates on half-densities rather than functions.

Keywords: Asymptotic Expansion; Phase Function; Pseudodifferential Operator; Morse Index; Principal Symbol (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-3-662-03030-1_5

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