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Orthogonal Families and Semigroups in Analysis and Probability
Edited by: Piotr Graczyk, Université d'Angers, France, and Wilfredo Urbina, Roosevelt University, Chicago, IL
A publication of the Société Mathématique de France.
Séminaires et Congrès
2013; 383 pp; softcover
Number: 25
ISBN-13: 978-2-85629-362-1
List Price: US$112
Member Price: US$89.60
Order Code: SECO/25
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The CIMPA-UNESCO 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.


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 Ornstein-Uhlenbeck 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
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