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- W4300517627 abstract "Let $Xsimeq G/K$ be a Riemannian symmetric space of non-compact type, $widetilde X$ its Oshima compactification, and $(pi,mathrm{C}(widetilde X))$ the regular representation of $G$ on $widetilde X$. We study integral operators on $widetilde X$ of the form $pi(f)$, where $f$ is a rapidly falling function on $G$, and characterize them within the framework of pseudodifferential operators, describing the singular nature of their kernels. In particular, we consider the holomorphic semigroup generated by a strongly elliptic operator associated to the representation $pi$, as well as its resolvent, and describe the asymptotic behavior of the corresponding semigroup and resolvent kernels." @default.
- W4300517627 created "2022-10-03" @default.
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- W4300517627 date "2011-02-24" @default.
- W4300517627 modified "2023-09-28" @default.
- W4300517627 title "Integral operators on the Oshima compactification of a Riemannian symmetric space of non-compact type. Microlocal analysis and kernel asymptotics" @default.
- W4300517627 doi "https://doi.org/10.48550/arxiv.1102.5069" @default.
- W4300517627 hasPublicationYear "2011" @default.
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