On the equation μt+s=μs*Tsμt

Statistics and Probability Letters

Volumn 52, Issue 2, 2001, Pages 183-188

  Schmuland, Byron ^a   Sun, Wei ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

(Tt) convolution semigroup; Infinitely divisible; Mehler formula

Indexed keywords

EID: 0042904595     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(00)00235-2     Document Type: Article

References (9)

1. Bogachev V.I., Röckner M. Mehler formula and capacities for infinite dimensional Ornstein-Uhlenbeck processes with general linear drift. Osaka J. Math. 32:1995;237-274.
2. Bogachev V.I., Röckner M., Schmuland B. Generalized Mehler semigroups and applications. Probab. Theory Related Fields. 105:1996;193-225.
3. Breiman L. Probability. 1992;SIAM, Philadelphia.
4. de Acosta A., Araujo A., Giné E. On Poisson measures, Gaussian measures and the central limit theorem in Banach spaces. Kuelbs J. Probability on Banach Spaces. Advances in Probability and Related Topics. Vol. 4:1978;1-68 Marcel Dekker, New York.
5. Fuhrman, M., Röckner, M., 2000. Generalized Mehler semigroups: the non-Gaussian case, Potential Anal. 12, 1-47.
6. Gorostiza, L.G., Li, Z.H., 1998. Fluctuation limits of measure-valued immigration processes with small branching, Sobretiro de Aportaciones Matemáticas, Modelos Estocásticos 14, Sociedad Matemática Mexicana, 261-268.
7. Gorostiza L.G., Li Z.H. High-density fluctuations of immigration branching particle systems. Gorostiza L.G., Ivanoff G. Stochastic Models. CMS Conference Proceedings. Vol. 26:2000;159-171 American Mathematical Society.
8. Li Z.H. Convolution semigroups associated with measure-valued branching processes. Chinese Sci. Bull. 41:1996;276-280.
9. Linde W. Probability in Banach Spaces - Stable and Infinitely Divisible Distributions. 1986;Wiley, New York.