Topics of Measure Theory on Infinite Dimensional Spaces

Abstract

This short review is devoted to measures on infinite dimensional spaces. We start by discussing product measures and projective techniques. Special attention is paid to measures on linear spaces, and in particular to Gaussian measures. Transformation properties of measures are considered, as well as fundamental results concerning the support of the measure.

References in corpus (3)

• The Quantum Configuration Space of Loop Quantum Cosmology
• Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective
• Local Properties of Measures in Quantum Field Theory and Cosmology

Cited by in corpus (3)

• On generally covariant mathematical formulation of Feynman integral in Lorentz signature
• On the running and the UV limit of Wilsonian renormalization group flows
• Existence theorem on the UV limit of Wilsonian RG flows of Feynman measures