A01=Philippe Poulin
Author_Philippe Poulin
Category=PBK
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Product details
- ISBN 9781470419936
- Weight: 491g
- Dimensions: 178 x 254mm
- Publication Date: 30 Oct 2015
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
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Ce livre est base sur un cours de deuxieme cycle donne en 2005-2006 par M. Paul Koosis, professeur emerite a l'universite McGill. Il traite de sujets soigneusement choisis par le professeur a l'intention de ceux qui, plutot que de rechercher un catalogue exhaustif de resultats techniques et abstraits, veulent etre inities aux decouvertes les plus essentielles et prolifiques de l'analyse classique du vingtieme siecle. Analyse harmonique, quasi-analyticite, zeros des fonctions entieres (dont une preuve inedite du theoreme de Levinson-Cartwright), approximation ponderee, principe d'incertitude, mesures harmoniques ... , les resultats saillants et geniaux de l'analyse classique sont presentes dans un style soigne, rigoureux et detaille, preparant les etudiants a des etudes plus poussees ; et au service du lecteur qui, connaissant les bases de la theorie de la mesure et de l'analyse complexe, desire suivre le merveilleux developpement de M. Koosis et accroitre sa connaissance du sujet.
Je reconnais les choix et le style de Paul Koosis, et j'aime beaucoup les deux. Le titre est volontairement modeste et hors-mode; ce qui fait l'originalite du livre est que, sous l'apparence du ``classique'', il echappe completement aux modes actuelles. Il ne me parait pas avoir d'equivalent, en aucune langue. C'est un beau cadeau au francais ... --Jean-Pierre Kahane, Universite Paris-Sud Orsay, France.
This book is based on a graduate course given in 2005-2006 by Paul Koosis, Emeritus Professor at McGill University. It addresses topics carefully selected by Prof. Koosis and is intended for those who, far from seeking an exhaustive catalog of technical and abstract results, prefer to be initiated in the most essential and prolific discoveries of the 20th century in classical analysis. Harmonic analysis, quasi-analyticity, zeroes of classes of entire functions (including a new proof of the Levinson-Cartwright theorem), weighted approximation, gap theorems, harmonic measures, and other gems of classical analysis are presented in a rigorous, detailed, and elegant style. This work prepares students for more advanced studies and serves readers who, aware of the basics in measure theory and complex analysis, wish to follow Prof. Koosis in his marvelous development of the subject.
Je reconnais les choix et le style de Paul Koosis, et j'aime beaucoup les deux. Le titre est volontairement modeste et hors-mode; ce qui fait l'originalite du livre est que, sous l'apparence du ``classique'', il echappe completement aux modes actuelles. Il ne me parait pas avoir d'equivalent, en aucune langue. C'est un beau cadeau au francais ... --Jean-Pierre Kahane, Universite Paris-Sud Orsay, France.
This book is based on a graduate course given in 2005-2006 by Paul Koosis, Emeritus Professor at McGill University. It addresses topics carefully selected by Prof. Koosis and is intended for those who, far from seeking an exhaustive catalog of technical and abstract results, prefer to be initiated in the most essential and prolific discoveries of the 20th century in classical analysis. Harmonic analysis, quasi-analyticity, zeroes of classes of entire functions (including a new proof of the Levinson-Cartwright theorem), weighted approximation, gap theorems, harmonic measures, and other gems of classical analysis are presented in a rigorous, detailed, and elegant style. This work prepares students for more advanced studies and serves readers who, aware of the basics in measure theory and complex analysis, wish to follow Prof. Koosis in his marvelous development of the subject.
Philippe Poulin, United Arab Emirates University, Al Ain, Abu Dhabi, United Arab Emirates.
