Random Fourier series and continuous additive functionals of Lévy processes on the torus

Annals of Probability

Volumn 24, Issue 3, 1996, Pages 1178-1218

  Marcus, Michael B ^a   Rosen, Jay ^b  

^a CITY COLLEGE OF NEW YORK   (United States)

^b NONE

Author keywords

Continuous additive functionals; Dirichlet spaces; Random Fourier series

Indexed keywords

EID: 0030355516     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1065725178     Document Type: Article

References (12)

1. BARLOW, M. (1985). Continuity of local times for Lévy processes. Z. Wahrsch. Verw. Gebiete 69 23-35.
2. BARLOW, M. (1988). Necessary and sufficient conditions for the continuity of local time of Levy processes. Ann. Probab. 16 1389-1427.
3. BARLOW, M. and HAWKES, J. (1985). Applications de l'entopie métrique à la continuité des temps locaux des processus de Lévy. C. R. Acad. Sci. Paris Sér. I Math. 301 237-239.
4. BLUMENTHAL, R. and GETOOR, R. (1968). Markov Processes and Potential Theory. Academic Press, New York.
5. FUKUSHIMA, M. (1980). Dirichlet Forms and Markov Processes. North-Holland, Amsterdam.
6. JAIN, N. C. and MARCUS, M. B. (1978). Continuity of subgaussian processes. In Probability in Banach Spaces 81-196. Dekker, New York.
7. KAHANE, J. P. (1978). Some Random Series of Functions, 2nd ed. Cambridge Univ. Press.
8. LEDOUX, M. and TALAGRAND, M. (1991). Probability in Banach Spaces. Springer, New York.
9. MARCUS, M. B. and PISIER, G. (1981). Random Fourier Series with Applications to Harmonic Analysis. Princeton Univ. Press.
10. MARCUS, M. B. and ROSEN, J. (1992). Sample path properties of the local times of strongly symmetric Markov processes via Gaussian processes. Ann. Probab. 20 1603-1684.
11. MARCUS, M. B. and ROSEN, J. (1996). Gaussian chaos and sample path properties of additive functionals of symmetric Markov processes. Ann. Probab. 24 1130-1177.
12. OSHIMA, Y. (1990). Lecture Notes on Dirichlet Spaces. Univ. Erlangen-Nurenburg Lecture Notes.