On the $L^{p}$-spaces of projective limits of probability measures
Probability
2025-12-23 v2 Functional Analysis
Abstract
The present article describes the precise structure of the -spaces of projective limit measures by introducing a category theoretical perspective. This analysis is applied to measures on vector spaces and in particular to Gaussian measures on nuclear topological vector spaces. A simple application to constructive Quantum Field Theory (QFT) is given through the Osterwalder-Schrader axioms.
Cite
@article{arxiv.2307.12178,
title = {On the $L^{p}$-spaces of projective limits of probability measures},
author = {Juan Carlos Sampedro},
journal= {arXiv preprint arXiv:2307.12178},
year = {2025}
}