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SUMMARY:When do Fourier and Rajchman agree?
DTSTART:20140220T100000
DTEND:20140220T110000
DTSTAMP:20260510T235041Z
UID:02cd7823eabab0bb9c636dd812eb4a2bad979e592d4f4d24f51c5608
CATEGORIES:Conferences - Seminars
DESCRIPTION:Søren Knudby (Københavns Universitet\, Denmark)\nErgodic and
  Geometric Group Theory Seminar\nThe Fourier algebra A(G) and the Fourier-
 Stieltjes algebra B(G) are function algebras that occur naturally in harmo
 nic analysis of a locally compact group G. Unless G is compact\, A(G) is a
  proper subalgebra of B(G)\, since functions in A(G) vanish at infinity wh
 ile B(G) contains the constant functions. Consider the following question:
  Does the Fourier algebra A(G) coincide with the subalgebra of B(G) consis
 ting of functions vanishing at infinity? This last algebra is sometimes ca
 lled the Rajchman algebra.\nThe talk will cover known results concerning t
 his question. It will also include a theorem giving sufficient conditions 
 for the question to have an affirmative answer.\nAs an application of the 
 theorem we are able to give new examples of groups G such that A(G) coinci
 des with the subalgebra of B(G) consisting of functions vanishing at infin
 ity.
LOCATION:MA A3 31 http://plan.epfl.ch/?room=MA%20A3%2031
STATUS:CONFIRMED
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