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Volumn 175, Issue 1, 1996, Pages 43-62

Non-commutative chaotic expansion of Hilbert-Schmidt operators on fock space

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EID: 0030539544     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02101623     Document Type: Article
Times cited : (6)

References (15)
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    • Interprétation probabiliste et extension des intégrales stochastiques non commulatives
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    • (1993) Séminaire de Probabilités XXVII, Lect. Notes in Math. , vol.1557 , pp. 312-327
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  • 3
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    • Symmetric Hilbert spaces and related topics
    • Guichardet, A.: Symmetric Hilbert spaces and related topics. Lect. Notes in Math. 261 (1970)
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  • 4
    • 0006944788 scopus 로고
    • Quantum stochastic calculus for Hilbert-Schmidt processes
    • K.D. Elworthy, J.-C. Zambrini (eds.) Longman
    • Hudson, R.L., Kree, P.: Quantum stochastic calculus for Hilbert-Schmidt processes. Stochastic analysis, path integration and dynamics, K.D. Elworthy, J.-C. Zambrini (eds.) Longman, 1989, pp. 83-93
    • (1989) Stochastic Analysis, Path Integration and Dynamics , pp. 83-93
    • Hudson, R.L.1    Kree, P.2
  • 5
    • 0040659873 scopus 로고
    • Stochastic integral representation of some quantum martingales in Fock space
    • Warwick Symposium on Stochastic Differential Equations and Applications (1984/85)
    • Hudson, R.L., Lindsay, J.M., Parthasarathy, K.R.: Stochastic integral representation of some quantum martingales in Fock space. In: Warwick Symposium on Stochastic Differential Equations and Applications (1984/85), Pitman Research Notes on Mathematics 150, 1986, pp. 121-131
    • (1986) Pitman Research Notes on Mathematics , vol.150 , pp. 121-131
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  • 6
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    • Quantum Itô's formula and stochastic evolutions
    • Hudson, R.L., Parthasarathy, K.R.: Quantum Itô's formula and stochastic evolutions. Commun. Math. Phys. 93, 301-323 (1984)
    • (1984) Commun. Math. Phys. , vol.93 , pp. 301-323
    • Hudson, R.L.1    Parthasarathy, K.R.2
  • 7
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    • Multiple Wiener integral
    • Ito, K.: Multiple Wiener integral. J. Math. Soc. Japan 3, No. 1, 157-169 (1951)
    • (1951) J. Math. Soc. Japan , vol.3 , Issue.1 , pp. 157-169
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  • 9
    • 0007142385 scopus 로고
    • Quantum Markov processes on Fock space described by integral kernels
    • Quantum Prob. and Appl. II, Berlin, Heidelberg, New York: Springer
    • Maassen, H.: Quantum Markov processes on Fock space described by integral kernels. Quantum Prob. and Appl. II, Lect. Notes in Math. 1136, Berlin, Heidelberg, New York: Springer, 1985, pp. 361-374
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  • 10
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    • Meyer, P.A.: Quantum probability for probabilists. Lect. Notes in Math. 1538, Berlin, Heidelberg, New York: Springer, 1993
    • (1993) Lect. Notes in Math. , vol.1538
    • Meyer, P.A.1
  • 11
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    • Eléments de probabilités quantiques
    • Berlin, Heidelberg, New York: Springer
    • Meyer, P.A.: Eléments de probabilités quantiques. Séminaire de Probabilités XX, Lect. Notes in Math. 1204, Berlin, Heidelberg, New York: Springer, 1986, pp. 186-312
    • (1986) Séminaire de Probabilités XX, Lect. Notes in Math. , vol.1204 , pp. 186-312
    • Meyer, P.A.1
  • 12
    • 17144397504 scopus 로고
    • Représentation de martingales d'opérateurs
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    • Parthasarathy, K.R.1    Sinha, K.B.2
  • 15
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.