(Download) "Functional Analysis and the Feynman Operator Calculus" by Tepper Gill & Woodford Zachary # eBook PDF Kindle ePub Free

eBook details

Title: Functional Analysis and the Feynman Operator Calculus
Author : Tepper Gill & Woodford Zachary
Release Date : January 30, 2016
Genre: Mathematics,Books,Science & Nature,Physics,
Pages : * pages
Size : 9126 KB

Description

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.