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- W2954408514 abstract "Motivated by applications to multiplicity formulas in index theory, we study a family of distributions $Theta(m;k)$ associated to a piecewise quasi-polynomial function $m$. The family is indexed by an integer $k>0$, and admits an asymptotic expansion as $k rightarrow infty$, which generalizes the expansion obtained in the Euler-Maclaurin formula. Conversely we prove that $m$ is uniquely determined by a collection of such asymptotic expansions. We also show that the construction is compatible with pushforwards." @default.
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- W2954408514 date "2019-07-02" @default.
- W2954408514 modified "2023-09-27" @default.
- W2954408514 title "Semi-classical analysis of piecewise quasi-polynomial functions" @default.
- W2954408514 hasPublicationYear "2019" @default.
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