The work carried out for this thesis was motivated by a belief that
the methods of topological measure theory could be more widely applied in
the theory of probability. As my introduction to the subject was through
the field of weak convergence, much of the thesis has developed out of the
study of problems in that area; but this has often also involved
consideration of the topological, measure theoretic and functional analytic
background material. For example, the integral representation...[Show more]
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