Contents of Volume 78
Noncommutative Harmonic Analysis with Applications to Probability
Editors: Marek Bożejko, Anna Krystek, Wojciech Młotkowski and Janusz Wysoczański
doi:10.4064/bc78
Editors: Marek Bożejko, Anna Krystek, Wojciech Młotkowski and Janusz Wysoczański
doi:10.4064/bc78
- Preface, 5-6
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List of talks, 11-12
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List of participants, 10-11
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Quantum permutation groups: a survey Banach Center Publications 78 (2007), 13-34 MSC: Primary 46L65; Secondary 46L37, 46L54, 46L87. DOI: 10.4064/bc78-0-1
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Infinite dimensional Gegenbauer functionals Banach Center Publications 78 (2007), 35-45 MSC: Primary 60H40; Secondary 46A32, 46F25, 46G20. DOI: 10.4064/bc78-0-2
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Quantum Itô algebra and quantum martingale Banach Center Publications 78 (2007), 47-58 MSC: Primary 81S25; Secondary 46F25. DOI: 10.4064/bc78-0-3
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Remarks on $q$-CCR relations for $|q|>1$ Banach Center Publications 78 (2007), 59-67 MSC: Primary 46L53; Secondary 81S05. DOI: 10.4064/bc78-0-4
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A projective central limit theorem and interacting Fock space representation for the limit process Banach Center Publications 78 (2007), 69-80 MSC: Primary 46L53; Secondary 60B99. DOI: 10.4064/bc78-0-5
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Quasi-probability distribution of nonclassical states in interacting Fock space Banach Center Publications 78 (2007), 81-90 MSC: Primary 81S05; Secondary 47N50, 81S25. DOI: 10.4064/bc78-0-6
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Reduced and extended weak coupling limit Banach Center Publications 78 (2007), 91-119 MSC: 81Q99, 47N50. DOI: 10.4064/bc78-0-7
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Restrictions of CP-semigroups to maximal commutative subalgebras Banach Center Publications 78 (2007), 121-132 MSC: Primary 46L53, 46L55, 46L08; Secondary 60J25, 81S25. DOI: 10.4064/bc78-0-8
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The Wigner semi-circle law and the Heisenberg group Banach Center Publications 78 (2007), 133-143 MSC: Primary 15A52; Secondary 26A46, 43A90. DOI: 10.4064/bc78-0-9
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On spectrality of the algebra of convolution dominated operators Banach Center Publications 78 (2007), 145-149 MSC: Primary 47B35; Secondary 43A20. DOI: 10.4064/bc78-0-10
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A new approach to mutual information Banach Center Publications 78 (2007), 151-164 MSC: Primary 62B10, 94A17. DOI: 10.4064/bc78-0-11
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Free cumulants of some probability measures Banach Center Publications 78 (2007), 165-170 MSC: Primary 46L54; Secondary 60C05. DOI: 10.4064/bc78-0-12
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Bargmann representation of $q$-commutation relations for $q>1$ and associated measures Banach Center Publications 78 (2007), 171-183 MSC: Primary 81S05; Secondary 30E05. DOI: 10.4064/bc78-0-13
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The $V_a$-deformation of the classical convolution Banach Center Publications 78 (2007), 185-199 MSC: Primary 46L53, 46L54; Secondary 60E10. DOI: 10.4064/bc78-0-14
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A moment sequence in the $q$-world Banach Center Publications 78 (2007), 201-210 MSC: Primary 44A60; Secondary 05A30, 43A35, 47B32. DOI: 10.4064/bc78-0-15
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Asymptotic spectral analysis of generalized Erdős–Rényi random graphs Banach Center Publications 78 (2007), 211-229 MSC: Primary 05C80; Secondary 05C50, 46L53, 60F05, 68R10, 94C15. DOI: 10.4064/bc78-0-16
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Bethe Ansatz and the geography of rigged strings Banach Center Publications 78 (2007), 231-247 MSC: Primary 20C30; Secondary 70G10. DOI: 10.4064/bc78-0-17
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On the structure of positive maps between matrix algebras Banach Center Publications 78 (2007), 249-263 MSC: Primary 47B65; Secondary 47L07. DOI: 10.4064/bc78-0-18
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The spaces of quantum states for some harmonic oscillator potentials on the punctured plane ${\bf C}\setminus \{ 0 \}$ Banach Center Publications 78 (2007), 265-273 MSC: 35J10, 81Q70. DOI: 10.4064/bc78-0-19
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Completely 1-complemented subspaces of the Schatten spaces $S^p$ Banach Center Publications 78 (2007), 275-278 MSC: Primary 47B10, 47B49. DOI: 10.4064/bc78-0-20
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White noise distribution theory and its application Banach Center Publications 78 (2007), 279-291 MSC: Primary 46F25. DOI: 10.4064/bc78-0-21
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Operators of the $q$-oscillator Banach Center Publications 78 (2007), 293-307 MSC: Primary 47B20, 81S05. DOI: 10.4064/bc78-0-22
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The Lévy–Khintchine formula and Nica–Speicher property for deformations of the free convolution Banach Center Publications 78 (2007), 309-314 MSC: Primary 46L53, 46L54; Secondary 60E10. DOI: 10.4064/bc78-0-23
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bm-independence and central limit theorems associated with symmetric cones Banach Center Publications 78 (2007), 315-320 MSC: Primary 46L54; Secondary 81R50. DOI: 10.4064/bc78-0-24
