A Rigorous Mathematical Foundation of Functional Integration
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.
KeywordsQuadratic Form Volume Element Dirac Equation Radon Measure Polish Space
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