Feynman measures on locally convex spaces
A Fourier transformation of objects which are linear mappings from a function space over a locally convex space X to another locally convex space E is defined. By distribution functions the author understands linear transformations from the space of Fourier transforms to the locally convex space E. Subsequently the Fourier transforms of distribution functions are defined. In this frame a Feynman integral is introduced and some related notions, - e.g. the integration by parts and the convolution product - investigated. An example indicating connections with quantum physics is supplied.
scientific article; zbMATH DE number 4103737
scientific article