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First Summer School in Analysis and Mathematical Physics: Quantization, the Segal-Bargmann Transform and Semiclassical Analysis
 
Edited by: Salvador Pérez-Esteva Universidad Nacional Autónoma de México, Cuernavaca Morelos, México
Carlos Villegas-Blas Universidad Nacional Autónoma de México, Cuernavaca Morelos, México
First Summer School in Analysis and Mathematical Physics
eBook ISBN:  978-0-8218-7850-7
Product Code:  CONM/260.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
First Summer School in Analysis and Mathematical Physics
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First Summer School in Analysis and Mathematical Physics: Quantization, the Segal-Bargmann Transform and Semiclassical Analysis
Edited by: Salvador Pérez-Esteva Universidad Nacional Autónoma de México, Cuernavaca Morelos, México
Carlos Villegas-Blas Universidad Nacional Autónoma de México, Cuernavaca Morelos, México
eBook ISBN:  978-0-8218-7850-7
Product Code:  CONM/260.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2602000; 132 pp
    MSC: Primary 81

    The first Summer School of Analysis and Mathematical Physics of the Universidad Nacional Autónoma de México (Cuernavaca) offered graduate and advanced undergraduate students courses on modern topics in the overlap between analysis and physics. This volume contains the expanded notes from the lectures by Brian Hall, Alejandro Uribe, and David Borthwick. The articles introduce readers to mathematical methods of classical and quantum mechanics and the link between these two theories: quantization and semiclassical analysis. Hall writes about holomorphic methods in analysis and mathematical physics and includes exercises. Uribe's lectures covered trace formulae, in particular asymptotic behavior and the relationship between the asymptotics and the geometric properties of the classical system. Borthwick presents an introduction to Kähler quantization, including the moment map, the orbit method, and symmetry and reduction. The exposition in the entire volume is geared to introducing graduate students with a basic knowledge of mathematics into areas of active research.

    This book is published in cooperation with Sociedad Matemática Mexicana.
    Readership

    Graduate students and research mathematicians interested in mathematical physics and analysis.

  • Table of Contents
     
     
    • Articles
    • Brian C. Hall — Holomorphic methods in analysis and mathematical physics [ MR 1770752 ]
    • Alejandro Uribe — Trace formulae [ MR 1770753 ]
    • David Borthwick — Introduction to Kähler quantization [ MR 1770754 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2602000; 132 pp
MSC: Primary 81

The first Summer School of Analysis and Mathematical Physics of the Universidad Nacional Autónoma de México (Cuernavaca) offered graduate and advanced undergraduate students courses on modern topics in the overlap between analysis and physics. This volume contains the expanded notes from the lectures by Brian Hall, Alejandro Uribe, and David Borthwick. The articles introduce readers to mathematical methods of classical and quantum mechanics and the link between these two theories: quantization and semiclassical analysis. Hall writes about holomorphic methods in analysis and mathematical physics and includes exercises. Uribe's lectures covered trace formulae, in particular asymptotic behavior and the relationship between the asymptotics and the geometric properties of the classical system. Borthwick presents an introduction to Kähler quantization, including the moment map, the orbit method, and symmetry and reduction. The exposition in the entire volume is geared to introducing graduate students with a basic knowledge of mathematics into areas of active research.

This book is published in cooperation with Sociedad Matemática Mexicana.
Readership

Graduate students and research mathematicians interested in mathematical physics and analysis.

  • Articles
  • Brian C. Hall — Holomorphic methods in analysis and mathematical physics [ MR 1770752 ]
  • Alejandro Uribe — Trace formulae [ MR 1770753 ]
  • David Borthwick — Introduction to Kähler quantization [ MR 1770754 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.