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Volumn 229, Issue 1, 2005, Pages 143-154

Corrigendum to "The Clark-Ocone formula for vector valued Wiener functionals" [J. Funct. Anal. 229 (2005) 143-154] (DOI:10.1016/j.jfa.2004.11.012);The Clark-Ocone formula for vector valued Wiener functionals

Author keywords

Banach space valued random variables; Clark Ocone formula; Measure preserving transformations; Rotations; Weakly adapted operators

Indexed keywords


EID: 27944478641     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2007.01.018     Document Type: Erratum
Times cited : (6)

References (20)
  • 1
    • 0005474197 scopus 로고    scopus 로고
    • Flows associated to tangent processes on Wiener space
    • F. Cipriano A.B. Cruzeiro Flows associated to tangent processes on Wiener space J. Funct. Anal. 166 1999 310-331
    • (1999) J. Funct. Anal. , vol.166 , pp. 310-331
    • Cipriano, F.1    Cruzeiro, A.B.2
  • 2
    • 0000855448 scopus 로고
    • The representation of functionals of Brownian motion by stochastic integrals
    • J.M.C. Clark The representation of functionals of Brownian motion by stochastic integrals Ann. Math. Statist. 41 1971 1282-1295
    • (1971) Ann. Math. Statist. , vol.41 , pp. 1282-1295
    • Clark, J.M.C.1
  • 3
    • 0042369905 scopus 로고    scopus 로고
    • A class of anticipative tangent processes on the Wiener space
    • A.B. Cruzeiro P. Malliavin A class of anticipative tangent processes on the Wiener space C.R. Acad. Sci. Paris 333 1 2001 353-358
    • (2001) C.R. Acad. Sci. Paris , vol.333 , Issue.1 , pp. 353-358
    • Cruzeiro, A.B.1    Malliavin, P.2
  • 4
    • 84972503912 scopus 로고
    • Multiple Wiener integrals
    • K. Itô Multiple Wiener integrals J. Math. Soc. Japan 3 1951 385-392
    • (1951) J. Math. Soc. Japan , vol.3 , pp. 385-392
    • Itô, K.1
  • 5
    • 84972550545 scopus 로고
    • On the convergence of sums of independent Banach space valued random variables
    • K. Itô M. Nisio On the convergence of sums of independent Banach space valued random variables Osaka J. Math. 5 1968 35-48
    • (1968) Osaka J. Math. , vol.5 , pp. 35-48
    • Itô, K.1    Nisio, M.2
  • 7
    • 84972538901 scopus 로고
    • On square integrable martingales
    • H. Kunita S. Watanabe On square integrable martingales Nogoya Math. J. 30 1967 209-245
    • (1967) Nogoya Math. J. , vol.30 , pp. 209-245
    • Kunita, H.1    Watanabe, S.2
  • 8
    • 0000848018 scopus 로고
    • Quasi sure analysis of stochastic flows and Banach space valued smooth functionals on the Wiener space
    • P. Malliavin D. Nualart Quasi sure analysis of stochastic flows and Banach space valued smooth functionals on the Wiener space J. Funct. Anal. 112 1993 287-317
    • (1993) J. Funct. Anal. , vol.112 , pp. 287-317
    • Malliavin, P.1    Nualart, D.2
  • 9
    • 27944476750 scopus 로고    scopus 로고
    • The divergence of Banach space valued random variables on Wiener space
    • to appear, arXiv:math. PR/032451
    • E. Mayer-Wolf, M. Zakai, The divergence of Banach space valued random variables on Wiener space, Probab. Theory Related Fields, to appear, 2005, arXiv:mAth. PR/032451.
    • (2005) Probab. Theory Related Fields
    • Mayer-Wolf, E.1    Zakai, M.2
  • 10
    • 27944466618 scopus 로고
    • A summary of some identities of the Malliavin calculus
    • G. Da Prato, L. Tubaro (Eds.), Stochastics Partial Differential Equations and Applications II Springer, Berlin
    • D. Nualart, M. Zakai, A summary of some identities of the Malliavin calculus, in: G. Da Prato, L. Tubaro (Eds.), Stochastics Partial Differential Equations and Applications II, Lecture Notes in Mathematics, vol. 1390, Springer, Berlin, 1989, pp. 192-196.
    • (1989) Lecture Notes in Mathematics , vol.1390 , pp. 192-196
    • Nualart, D.1    Zakai, M.2
  • 11
    • 0021443346 scopus 로고
    • Malliavin calculus and stochastic integral representation of diffusion processes
    • D. Ocone Malliavin calculus and stochastic integral representation of diffusion processes Stochastics 12 1984 161-185
    • (1984) Stochastics , vol.12 , pp. 161-185
    • Ocone, D.1
  • 12
    • 0038626284 scopus 로고    scopus 로고
    • On the Clark Ocone formula for the abstract Wiener space
    • H. Osswald On the Clark Ocone formula for the abstract Wiener space Adv. Math. 176 2003 38-52
    • (2003) Adv. Math. , vol.176 , pp. 38-52
    • Osswald, H.1
  • 13
    • 0030602104 scopus 로고    scopus 로고
    • Anticipating flows on the Wiener space generated by vector fields of low regularity
    • G. Peters Anticipating flows on the Wiener space generated by vector fields of low regularity J. Funct. Anal. 142 1996 129-192
    • (1996) J. Funct. Anal. , vol.142 , pp. 129-192
    • Peters, G.1
  • 14
    • 21344496789 scopus 로고
    • Sobolev spaces of Banach-valued functions associated with a Markov process
    • I. Shigekawa Sobolev spaces of Banach-valued functions associated with a Markov process Probab. Theory Related Fields 99 1994 425-441
    • (1994) Probab. Theory Related Fields , vol.99 , pp. 425-441
    • Shigekawa, I.1
  • 15
    • 0003209882 scopus 로고    scopus 로고
    • An Introduction to Analysis of Wiener Space
    • Springer, Berlin
    • A.S. Üstünel, An Introduction to Analysis of Wiener Space, Lecture Notes in Mathematics, vol. 1610, Springer, Berlin, 1996.
    • (1996) Lecture Notes in Mathematics , vol.1610
    • Üstünel, A.S.1
  • 16
    • 0030704016 scopus 로고    scopus 로고
    • The construction of filtrations on abstract Wiener space
    • A.S. Üstünel M. Zakai The construction of filtrations on abstract Wiener space J. Funct. Anal. 143 1997 10-32
    • (1997) J. Funct. Anal. , vol.143 , pp. 10-32
    • Üstünel, A.S.1    Zakai, M.2
  • 17
    • 0034688507 scopus 로고    scopus 로고
    • Embedding the abstract Wiener space in a probability space
    • A.S. Üstünel M. Zakai Embedding the abstract Wiener space in a probability space J. Funct. Anal. 171 2000 124-138
    • (2000) J. Funct. Anal. , vol.171 , pp. 124-138
    • Üstünel, A.S.1    Zakai, M.2
  • 19
    • 27944504999 scopus 로고
    • Un traitement unifié de la représentation des fonctionelles de Wiener
    • Séminaire de Probabilités XXIV
    • L. Wu, Un traitement unifié de la représentation des fonctionelles de Wiener, Séminaire de Probabilités XXIV, Lecture Notes in Mathematics, vol. 1426, 1990, pp. 166-187.
    • (1990) Lecture Notes in Mathematics , vol.1426 , pp. 166-187
    • Wu, L.1
  • 20


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.