BooksecrCollected Volumepp. 37–53

A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals

  • Sergio Albeverio

    Universität Bonn, Germany

  • Sonia Mazzucchi

    Università di Trento, Povo (Trento), Italy
A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals cover

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Abstract

An unified approach to infinite dimensional integration in terms of linear continuous functional is presented, including the cases of both probabilistic and oscillatory integrals. Applications to the theory of Feynman path integrals and to the study of high-order heat-type equations are also presented.