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Volumn 2000, Issue 2, 2000, Pages

The Coalgebra of the Free Difference Quotient and Free Probability

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EID: 0001914790     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (117)

References (13)
  • 1
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    • Processes with free increments
    • P. Biane, Processes with free increments, Math. Z. 227 (1998), 143-174.
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    • Biane, P.1
  • 2
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    • Operator Algebras and Quantum Statistical Mechanics, Vol. 1: C*-and W*-Algebras, Symmetry Groups, Decomposition of States, Texts
    • Springer-Verlag, New York
    • O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vol. 1: C*-and W*-Algebras, Symmetry Groups, Decomposition of States, Texts Monogr. Phys., Springer-Verlag, New York, 1979.
    • (1979) Monogr. Phys.
    • Bratteli, O.1    Robinson, D.W.2
  • 4
    • 0003253510 scopus 로고
    • Lectures on Singular Integral Operators
    • Amer. Math. Soc., Providence
    • M. Christ, Lectures on Singular Integral Operators, CBMS Reg. Conf. Ser. Math. 77, Amer. Math. Soc., Providence, 1990.
    • (1990) CBMS Reg. Conf. Ser. Math. , vol.77
    • Christ, M.1
  • 5
    • 0002872733 scopus 로고
    • Bounded Analytic Functions
    • Academic Press, NewYork
    • J. B. Garnett, Bounded Analytic Functions, Pure Appl. Math. 96, Academic Press, NewYork, 1981.
    • (1981) Pure Appl. Math. , vol.96
    • Garnett, J.B.1
  • 8
    • 84968470272 scopus 로고
    • Functions of several noncommuting variables
    • J. L. Taylor, Functions of several noncommuting variables, Bull. Amer. Math. Soc. 79 (1973), 1-34.
    • (1973) Bull. Amer. Math. Soc. , vol.79 , pp. 1-34
    • Taylor, J.L.1
  • 9
    • 21144462319 scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory, I
    • D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, I, Comm. Math. Phys. 155 (1993), 71-92.
    • (1993) Comm. Math. Phys. , vol.155 , pp. 71-92
    • Voiculescu, D.1
  • 10
    • 0032380955 scopus 로고    scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory, V: Noncommutative Hilbert transforms
    • _, The analogues of entropy and of Fisher's information measure in free probability theory, V: Noncommutative Hilbert transforms, Invent. Math. 132 (1998), 182-227.
    • (1998) Invent. Math. , vol.132 , pp. 182-227
  • 11
    • 0033604007 scopus 로고    scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory, VI: Liberation and mutual free information
    • _, The analogues of entropy and of Fisher's information measure in free probability theory, VI: Liberation and mutual free information, Adv. Math. 146 (1999), 101-166.
    • (1999) Adv. Math. , vol.146 , pp. 101-166
  • 13
    • 0003341427 scopus 로고
    • Free Random Variables
    • Amer. Math. Soc., Providence
    • D. Voiculescu, K. Dykema, and A. Nica, Free Random Variables, CRM Monogr. Ser. 1, Amer. Math. Soc., Providence, 1992.
    • (1992) CRM Monogr. Ser. , vol.1
    • Voiculescu, D.1    Dykema, K.2    Nica, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.