131 research outputs found
Fr\'echet completions of moderate growth old and (somewhat) new results
This article has two objectives. The first is to give a guide to the proof of
the (so-called) Casselman-Wallach theorem as it appears in Real Reductive
Groups II. The emphasis will be on one aspect of the original proof that leads
to the new result in this paper which is the second objective. We show how a
theorem of van der Noort combined with a clarification of the original argument
in my book lead to a theorem with parameters (an alternative is one announced
by Berstein and Kr\"otz). This result gives a new proof of the meromorphic
continulation of the smooth Eisenstein series
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