Click Here to Download: https://ouo.io/qYfJCj9 Functional Analysis and the Feynman Operator Calculus By: Tepper Gill; Woodford Zachary Publisher: Springer Print ISBN: 9783319275932, 3319275933 eText ISBN: 9783319275956, 331927595X Copyright year: 2016 Format: PDF Available from $ 129.00 USD SKU 9783319275956 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.
