Faithin Omaha eBook Collection

Download or read book Functional Analysis and the Feynman Operator Calculus written by Tepper Gill and published by Springer. This book was released on 2016-03-30 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.