The idea of the workshop on Functional Integration, Theory and
Applications, held in Louvain-Ia-Neuve from November 6 to 9 1979,
was to put in close and informal contact, during a few days, active
workers in the field. There is no doubt now that functional
integration is a tool that is being applied in all branches of
modern physics. Since the earlier works of Dirac and Feynman
enormous progress has been made, but unfortunately we lack still a
unifying and rigo rous mathematical framework to account for all
the situations in which one is interested. We are then in presence
of a rapid ly changing field in which new achievements, proposals,
and points of view are the normal pattern. Considering this state
of affairs we have decided to order the articles starting from the
more fundamental and ambitious from the point of view of
mathematical rigour, followed by ar ticles in which the main
interest is the application to con crete physical situations. It is
obvious that this ordering should not be taken too seriously since
in many cases there will be an interplay of both objects.
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