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General Theory in the Interior of the Domain

In: Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Author

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  • Victor Ivrii

    (University of Toronto, Department of Mathematics)

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).

Suggested Citation

  • Victor Ivrii, 2019. "General Theory in the Interior of the Domain," Springer Books, in: Microlocal Analysis, Sharp Spectral Asymptotics and Applications I, chapter 0, pages 286-406, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-30557-4_4
    DOI: 10.1007/978-3-030-30557-4_4
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