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A Rigorous Mathematical Foundation of Functional Integration

  • P. Cartier
  • C. DeWitt-Morette
Part of the NATO ASI Series book series (NSSB, volume 361)

Abstract

Due to the growing interest in path integrals as a valuable tool in theoretical physics, a rigorous mathematical foundation of functional integration is needed more than ever. In these lectures we will present a new approach that is in part a synthesis of what has been accomplished over the past decades and in part an extension of functional integration to a larger class of ftinctionals. After a discussion of integration theory and its shortcomings in infinite-dimensional, non-compact spaces, we will present the new approach in detail and give examples of its application.

Keywords

Quadratic Form Volume Element Dirac Equation Radon Measure Polish Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • P. Cartier
    • 1
  • C. DeWitt-Morette
    • 2
  1. 1.Ecole Normale SupérieureParisFrance
  2. 2.Department of Physics and Center for RelativityUniversity of Texas at AustinAustinUSA

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