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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 24, Fasc. 1,
pages 173 - 180
 

NOTE ON THE FACTORIZATION OF THE HAAR MEASURE ON FINITE COXETER GROUPS

Roman Urban

Abstract: In this note we show that for the finite Coxeter groups of types A ,
 n B  ,
  n D ,
 n F ,
 4 G
  2  and I (m)
 2 it is possible to choose an appropriate set S of generators of order not greater than 2 and a finite set of probability measures (m ,...,m )
  1     k with their supports in S such that m  *...*m  = c
 1       k , where c(g) = |G |- 1  for every g  (-  G.

2000 AMS Mathematics Subject Classification: 60B15, 43A05.

Key words and phrases: Finite Coxeter groups, factorization, Haar measure, Fourier transform.

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