On the Wiener integral with respect to the fractional Brownian motion

Boletin de la Sociedad Matematica Mexicana

Volumn 8, Issue 1, 2002, Pages 97-106

  Tudor, Constantin ^a  

^a UNIVERSITY OF BUCHAREST   (Romania)

Author keywords

Fractional Brownian motion; Inner product spaces; Wiener integral

Indexed keywords

EID: 0036553750     PISSN: 1405213X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. E. ALÓS, O. MAZET AND D. NUALART, Stochastic calculus with respect to Gaussian processes, Ann. Probab. 29 (2) (2001), 766-801.
2. R.J. BARTON AND H. VINCENT POOR, Signal detection in fractional Gaussian noise, IEEE Trans. Inform. Theory 34, Nr. 5 (1988), 943-959.
3. L. DECREUSEFOND, A Skorohod-Stratonovitch integral for the fractional Brownian motion, Progress in Probability (2000), 177-1999 Birkhäuser.
4. L. DECREUSEFOND AND A.S. USTUNEL, Stochastic Analysis with respect to fractional Brownian motion, Potential Anal. 10 (2) (1999), 177-214.
5. I. NORROS, E. VALKEILA AND J. VIRTAMO, An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions, Bernoulli 5 (4) (1999), 571-587.
6. V. PÉREZ ABREU AND C. TUDOR, A transfer principle for multiple stochastic fractional integrals. Preprint 1-01-13/27-08-2001.
7. V. PIPIRAS AND M.S. TAQQU, Integration questions related to fractional Brownian motion, Probab. Theory Related Fields 118 (2) (2000), 251-291.
8. V. PIPIRAS AND M.S. TAQQU, Are classes of deterministic integrands for fractional Brownian motion on an interval complete? Bernoulli 7 (6) (2001), 873-897.
9. S.G. SAMKO, A.A. KILBAS AND O.I. MARICHEV, Fractional integrals and derivatives. Gordon and Breach Science, 1993.