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Speaker:

Alexander Kosyak
Affiliation:

Institute of Mathematics of NAS of Ukraine, Kiev/MPIM
Date:

Tue, 2019-02-12 14:00 - 15:00
Location:

MPIM Lecture Hall Almost all harmonic analysis on locally compact groups is based on the existence (and uniqueness)

of the Haar measure. If the group is not locally compact there is no Haar measure on it. The aim

of the talk is to give a systematic development, by example, of noncommutative harmonic

analysis on infinite-dimensional (non-locally compact) matrix groups.

We generalize the notion of regular, quasi-regular and induced representations to arbitrary

infinite-dimensional groups. In order to do so, we replace the non-existing Haar measure on an

infinite-dimensional group by a suitable quasi-invariant measure on an appropriate completion

of the initial group or on the completion of a homogeneous space.

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