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General Theory in the Interior of the Domain

Victor Ivrii ()
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Victor Ivrii: University of Toronto, Department of Mathematics

Chapter Chapter 4 in Microlocal Analysis, Sharp Spectral Asymptotics and Applications I, 2019, pp 286-406 from Springer

Abstract: Abstract In this chapter we begin the treatment of the local and microlocal semiclassical spectral asymptotics. At this stage we are interested in the standard spectral asymptotics, i.e., in asymptotics with respect to the Planck constant h → +0 only; namely, in this chapter we are interested in the asymptotics of the spectral function e(X, X, τ) which is the restriction to the diagonal of the Schwartz kernel of the spectral projector, and the spatial means of e(X, X, τ).

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-30557-4_4

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DOI: 10.1007/978-3-030-30557-4_4

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