Strong Haagerup inequalities for free R-diagonal elements

[1]  Alexandru Nica,et al.  Lectures on the Combinatorics of Free Probability , 2006 .

[2]  Todd Kemp.  Hypercontractivity in Non-Commutative Holomorphic Spaces , 2004, math/0410534.

[3]  L. Saloff-Coste,et al.  Connected Lie groups and property RD , 2004, math/0409413.

[4]  O. Johnson.  Free Random Variables , 2004 .

[5]  Calcul fonctionnel et fonctions carrées dans les espaces Lp non commutatifsFunctional calculus and square functions in noncommutative Lp-spaces , 2003 .

[6]  A. Valette.  Introduction To The Baum-Connes Conjecture , 2002 .

[7]  F. Larsen,et al.  POWERS OF R-DIAGONAL ELEMENTS , 2002 .

[8]  Marius Junge,et al.  Théorèmes ergodiques maximaux dans les espaces Lp non commutatifsMaximal ergodic theorems in non-commutative Lp-spaces , 2002 .

[9]  Marius Junge,et al.  Théorèmes ergodiques maximaux dans les espaces Lp non commutatifsMaximal ergodic theorems in non-commutative Lp-spaces , 2002 .

[10]  On the powers of Voiculescu's circular element , 2001 .

[11]  U. Haagerup,et al.  Brown's Spectral Distribution Measure for R-Diagonal Elements in Finite von Neumann Algebras☆ , 2000 .

[12]  V. Lafforgue.  A proof of property (RD) for cocompact lattices of and . , 2000 .

[13]  L. Gross.  Hypercontractivity over complex manifolds , 1999 .

[14]  M. Bożejko.  ULTRACONTRACTIVITY AND STRONG SOBOLEV INEQUALITY FOR q-ORNSTEIN–UHLENBECK SEMIGROUP (-1 < q < 1) , 1999 .

[15]  F. Hiai,et al.  Properties of Free Entropy Related to Polar Decomposition , 1999 .

[16]  R. Speicher,et al.  Stochastic calculus with respect to free Brownian motion and analysis on Wigner space , 1998 .

[17]  R. Speicher,et al.  Maximality of the microstates free entropy for R-diagonal elements , 1998, math/9809081.

[18]  V. Lafforgue.  Une démonstration de la conjecture de Baum-Connes pour les groupes réductifs sur un corps p-adique et pour certains groupes discrets possédant la propriété (T) , 1998 .

[19]  Vaughan F. R. Jones,et al.  Algebras associated to intermediate subfactors , 1997 .

[20]  P. Biane.  Segal–Bargmann Transform, Functional Calculus on Matrix Spaces and the Theory of Semi-circular and Circular Systems , 1997 .

[21]  R. Speicher,et al.  q-Gaussian Processes: Non-commutative and Classical Aspects , 1996, funct-an/9604010.

[22]  Free Hypercontractivity , 1997 .

[23]  A. Valette.  On the Haagerup inequality and groups acting on $\tilde{A}_n$-buildings , 1997 .

[24]  R. Speicher,et al.  Commutators of free random variables , 1996, funct-an/9612001.

[25]  R. Speicher,et al.  R-diagonal pairs - a common approach to Haar unitaries and circular elements , 1996, funct-an/9604012.

[26]  R. Speicher.  Multiplicative functions on the lattice of non-crossing partitions and free convolution , 1994 .

[27]  Nicholas T. Varopoulos,et al.  Analysis and Geometry on Groups , 1993 .

[28]  P. Garbaczewski,et al.  Nonlinear Fields: Classical Random Semiclassical , 1991 .

[29]  Roland Speicher,et al.  An example of a generalized Brownian motion , 1991 .

[30]  D. Voiculescu.  Symmetries of some reduced free product C*-algebras , 1985 .

[31]  On hypercontractivity for multipliers on orthogonal polynomials , 1983 .

[32]  Paul H. Edelman.  Chain enumeration and non-crossing partitions , 1980, Discret. Math..

[33]  U. Haagerup.  An example of a non nuclearC*-algebra, which has the metric approximation property , 1978 .

[34]  Phillip A. Ostrand,et al.  COMPUTING NORMS IN GROUP C*-ALGEBRAS.* , 1976 .

[35]  Edward Nelson.  The free Markoff field , 1973 .

[36]  Germain Kreweras,et al.  Sur les partitions non croisees d'un cycle , 1972, Discret. Math..

[37]  W. Rudin.  Real and complex analysis , 1968 .

[38]  V. Bargmann.  On a Hilbert space of analytic functions and an associated integral transform part I , 1961 .