Feynman path integrals are ubiquitous in quantum physics, even if a
large part of the scientific community still considers them as a
heuristic tool that lacks a sound mathematical definition. Our book
aims to refute this prejudice, providing an extensive and
self-contained description of the mathematical theory of Feynman
path integration, from the earlier attempts to the latest
developments, as well as its applications to quantum mechanics.This
second edition presents a detailed discussion of the general theory
of complex integration on infinite dimensional spaces, providing on
one hand a unified view of the various existing approaches to the
mathematical construction of Feynman path integrals and on the
other hand a connection with the classical theory of stochastic
processes. Moreover, new chapters containing recent applications to
several dynamical systems have been added.This book bridges between
the realms of stochastic analysis and the theory of Feynman path
integration. It is accessible to both mathematicians and
physicists.
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