Krengel-Lin decomposition for noncompact groups

Wojciech Bartoszek; Ryszard Rębowski

Colloquium Mathematicae (1996)

  • Volume: 69, Issue: 1, page 87-94
  • ISSN: 0010-1354

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Bartoszek, Wojciech, and Rębowski, Ryszard. "Krengel-Lin decomposition for noncompact groups." Colloquium Mathematicae 69.1 (1996): 87-94. <http://eudml.org/doc/210330>.

@article{Bartoszek1996,
author = {Bartoszek, Wojciech, Rębowski, Ryszard},
journal = {Colloquium Mathematicae},
keywords = {Markov operator; ergodic theory; random walk; concentration function; concentrated measure; locally compact, -compact group; right Haar measure; convex convolution semigroup; Borel probability measures; SIN groups},
language = {eng},
number = {1},
pages = {87-94},
title = {Krengel-Lin decomposition for noncompact groups},
url = {http://eudml.org/doc/210330},
volume = {69},
year = {1996},
}

TY - JOUR
AU - Bartoszek, Wojciech
AU - Rębowski, Ryszard
TI - Krengel-Lin decomposition for noncompact groups
JO - Colloquium Mathematicae
PY - 1996
VL - 69
IS - 1
SP - 87
EP - 94
LA - eng
KW - Markov operator; ergodic theory; random walk; concentration function; concentrated measure; locally compact, -compact group; right Haar measure; convex convolution semigroup; Borel probability measures; SIN groups
UR - http://eudml.org/doc/210330
ER -

References

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  1. [AB] M. A. Akcoglu and D. Boivin, Approximation of L p -contractions by isometries, Canad. Math. Bull. 32 (1989), 360-364. Zbl0698.47007
  2. [B1] W. Bartoszek, On the asymptotic behaviour of positive linear operators, Notices South African Math. Soc. 25 (1993), 48-78. 
  3. [B2] W. Bartoszek, On concentration functions on discrete groups, Ann. Probab. 22 (1994). 
  4. [B3] W. Bartoszek, On concentrated probabilities, Ann. Polon. Math. 61 (1995), 25-38. 
  5. [B4] W. Bartoszek, On convolution powers on semidirect products, Israel J. Math. (1995), to appear. Zbl0836.43002
  6. [C] I. Csiszár, On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups, Z. Wahrsch. Verw. Gebiete 5 (1966), 279-295. Zbl0144.39504
  7. [DL1] Y. Derriennic et M. Lin, Sur le comportement asymptotique de puissances de convolution d'une probabilité, Ann. Inst. H. Poincaré 20 (1984), 127-132. Zbl0536.60014
  8. [DL2] Y. Derriennic et M. Lin, Convergence of iterates of averages of certain operator representations and convolution powers, J. Funct. Anal. 85 (1989), 86-102. Zbl0712.22008
  9. [E] P. Eisele, On shifted convolution powers of a probability measure, Math. Z. 211 (1992), 557-574. Zbl0760.60009
  10. [F] S. R. Foguel, The Ergodic Theory of Markov Processes, Van Nostrand Reinhold, 1969. 
  11. [HT] G. Hansel and J. P. Troallic, On a class of weakly periodic mappings, Semigroup Forum 41 (1990), 357-372. Zbl0701.43013
  12. [HR] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis I, Springer, 1963. 
  13. [H] H. Heyer, Probability Measures on Locally Compact Groups, Springer, 1977. Zbl0376.60002
  14. [KL] U. Krengel and M. Lin, On the deterministic and asymptotic σ-algebras of a Markov operator, Canad. Math. Bull. 32 (1) (1989), 64-73. Zbl0638.60079
  15. [R] R. Rębowski, Convergence of iterates of averages of group representations, Rend. Circ. Mat. Palermo (2) 33 (1993), 453-461. Zbl0829.47010

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