Séminaires et Congrès 2013; 383 pp; softcover Number: 25 ISBN13: 9782856293621 List Price: US$112 Member Price: US$89.60 Order Code: SECO/25
 The CIMPAUNESCO workshop "Orthogonal Families and Semigroups in Analysis and Probability" was held in 2006 in Mirida, Venezuela and was organized with the collaboration of three Venezuelian universities (UCV, USB, and ULA). The objective of the workshop was to present the modern theory of operator semigroups, related to polynomial orthogonal expansions. This theory comprises a vast body of knowledge and has interconnections with several other areas, including harmonic analysis, probability, random matrices, stochastic calculus, and control theory. The chapters in this volume originate from the lectures at this workshop and stress the interplay of all these domains. A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. Readership Graduate students and research mathematicians interested in modern theory of operator semigroups related to polynomial orthogonal expansions. Table of Contents  D. Bárcenas and H. Leiva  Semigroups and control theory
 J. Faraut  Random matrices and orthogonal polynomials
 P. Feinsilver  Lie algebras, representations, and analytic semigroups through dual vector fields
 P. Graczyk and T. Jakubowski  Analysis of OrnsteinUhlenbeck and Laguerre stochastic processes
 S. Thangavelu  Hermite and Laguerre semigroups: Some recent developments
 W. O. Urbina  Semigroups of operators for classical orthogonal polynomials and functional inequalities
