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UID:1592@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170221T140000
DTEND;TZID=Europe/Paris:20170221T150000
DTSTAMP:20170206T130000Z
URL:https://www.i2m.univ-amu.fr/evenements/holonomic-equivariant-tempered-
 distributions-in-non-commutative-harmonic-analysis/
SUMMARY: (...): Holonomic equivariant tempered distributions in non-commuta
 tive harmonic analysis
DESCRIPTION:: A holonomic distribution is a distribution that satisfies man
 y differential equations. This notion was applied by Bernstein to construc
 t distributions that are semi-invariant under a group action. This constru
 ction in turn gave the construction of standard intertwining operators for
  principal series representations of real reductive groups. I will recall 
 these classical constructions and then describe a recent generalization by
  Sahi\, Sayag and myself.This generalization enables to construct standard
  intertwining operators on spherical pairs\, as well as generalized Whitta
 ker functionals on degenerate principal series. It also simplifies the cla
 ssical construction of intertwining operators and Whittaker functionals.Th
 en I will formulate another classical theorem\, due to Bernstein and Kashi
 wara\, that states that the space of solutions of a holonomic D-module in 
 tempered distributions is finite-dimensional\, and give applications of th
 is theorem to dimension bounds on the spaces of invariant distributions an
 d on multiplicity bounds for spherical spaces. http://www.wisdom.weizmann.
 ac.il/~dimagur/
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DTSTART:20161030T020000
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