On the generating functional of a convolution semigroup on a Hilbert-Lie group

Erdal Coşkun; Herbert Heyer

Annales mathématiques Blaise Pascal (1996)

  • Volume: 3, Issue: 1, page 51-64
  • ISSN: 1259-1734

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Coşkun, Erdal, and Heyer, Herbert. "On the generating functional of a convolution semigroup on a Hilbert-Lie group." Annales mathématiques Blaise Pascal 3.1 (1996): 51-64. <http://eudml.org/doc/79153>.

@article{Coşkun1996,
author = {Coşkun, Erdal, Heyer, Herbert},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Lévy-Khinchin type representation; convolution semigroup; probability measures; Hilbert-Lie group; locally compact group},
language = {eng},
number = {1},
pages = {51-64},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {On the generating functional of a convolution semigroup on a Hilbert-Lie group},
url = {http://eudml.org/doc/79153},
volume = {3},
year = {1996},
}

TY - JOUR
AU - Coşkun, Erdal
AU - Heyer, Herbert
TI - On the generating functional of a convolution semigroup on a Hilbert-Lie group
JO - Annales mathématiques Blaise Pascal
PY - 1996
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 3
IS - 1
SP - 51
EP - 64
LA - eng
KW - Lévy-Khinchin type representation; convolution semigroup; probability measures; Hilbert-Lie group; locally compact group
UR - http://eudml.org/doc/79153
ER -

References

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  1. [1] S. Albeverio, R. Høegh-Krohn, J. Marion, D. Testard, B. Torrésani: Noncommutative DistributionsMarcel Dekker1993 Zbl0791.22010MR1233384
  2. [2] E. Coşkun: Faltungshalbgruppen von Wahrscheinlichkeitsmaßen auf einer Hilbert-Lie-Gruppe Dissertation, Tübingen1991 
  3. [3] H. Heyer: Probability Measures on Locally Compact GroupsSpringerBerlin- 1977Heidelberg-New York Zbl0376.60002MR501241
  4. [4] A.V. Kosyak: Extension of unitary representations of inductive limits of finite dimensional Lie groups Reports on Mathematical Physics Vol. 26 (1988), 285-302 Zbl0699.22019MR991725
  5. [5] J.D. Samur: On semigroups of convolution operators in Hilbert spacePacific J.Math.115 (1984), 463-479 Zbl0509.60020MR765201
  6. [6] E. Siebert: Jumps of stochastic processes with values in a topological groupProbability and Mathematical Statistics5, 2 (1985), 197-209 Zbl0605.60066MR816696
  7. [7] T. Zak: A representation of infinitesimal operators of semigroups of measures on Banach spaces of cotype 2. Bull .Pol.Acad.Sc.31 (1983), 71-74 Zbl0542.60007MR717127

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