Quantum Probability And Infinite Dimensional Analysis Proceedings Of The 29th Conference Hammamet Tunisia 1318 October 2008 Ouerdiane H by Ouerdiane H., Barhoumi A. (eds.) 9789814295437, 9814295434 instant download after payment.

A presentation of a systematic course on general orthogonal polynomials and Fourier series in orthogonal polynomials. It consists of six chapters. The first deals in essence with standard results from the university course on the function theory of a real variable and on functional analysis. Chapter Two contains the classical results about the orthogonal polynomials (some properties, classical Jacobi polynomials and the criteria of boundedness). The main subject of the book is Fourier series in general orthogonal polynomials. Chapters Three and Four are devoted to some results in this topic (classical results about convergence and summability of Fourier series in L2m; summability almost everywhere by the Cesaro means and the Poisson-Abel method for Fourier polynomial series are the subject of Chapters Four and Five). The last chapter contains some estimates regarding the generalized shift operator and the generalized product formula, associated with general orthogonal polynomials. The starting point of the technique in Chapters Four and Five is the representations of bilinear and trilinear forms obtained by the author. Chapters Two and Three (and part of Chapter One) should be useful to postgraduate students, and one can choose them for treatment This is the proceedings of the 29th Conference on Quantum Probability and Infinite Dimensional Analysis, which was held in Hammamet, Tunisia. On the central extensions of the Heisenberg algebra / L. Accardi & A. Boukas -- Representations of the LeМЃvy-Meixner oscillator algebra and the overcompleteness of the associated sequences of coherent states / A. Barhoumi, H. Ouerdiane & A. Riahi -- Some systems of dualities in white noise analysis / T. Hida -- Quantum white noise derivatives and associated differential equations for white noise operators / U.C. Ji & N. Obata -- The Gibbs conditioning principle for white noise distributions : interacting and non-interacting cases / F. Cipriano, S. Gheryani & H. Ouerdiane -- Markov triplets on CAR algebras / J. Pitrik -- Quantum Fokker-Planck models : limiting case in the Lindblad condition / F. Fagnola & L. Neumann -- Generalized Euler heat equation / A. Barhoumi, H. Ouerdiane & H. Rguigui -- On quantum De Finetti's theorems / V. Crismale & Y.G. Lu -- Kolmogorovian model for EPR-experiment / D. Avis ... [et al.] -- Free white noise stochastic equation / L. Accardi, W. Ayed & H. Ouerdiane -- LeМЃvy models robustness and sensitivity / F.E. Benth, G. Di Nunno & A. Khedher -- Quantum heat equation with quantum K-Gross Laplacian : solutions and integral representation / S. Horrigue & H. Ouerdiane -- On Marginal Markov processes of quantum quadratic stochastic processes / F. Mukhamedov -- On the applicability of multiplicative renormalization method for certain power functions / I. Kubo, H.-H. Kuo & S. Namli -- Convolution equation : solution and probabilistic representation / J.L. Da Silva, M. Erraoui & H. Ouerdiane -- From classical to quantum entropy production / F. Fagnola & R. Rebolledo -- Extending the set of quadratic exponential vectors / L. Accardi, A. Dhahri & M. Skeide -- On operator-parameter transforms based on nuclear algebra of entire functions and applications / A. Barhoumi ... [et al.] -- Dissipative quantum annealing / D. de Falco, E. Pertoso & D. Tamascelli