Functional Analysis and the Feynman Operator Calculus

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Management number 233568022 Release Date 2026/06/27 List Price US$43.53 Model Number 233568022
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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. Read more

ISBN10 3319801805
ISBN13 978-3319801803
Edition Softcover reprint of the original 1st ed. 2016
Language English
Publisher Springer
Dimensions 6.1 x 0.85 x 9.25 inches
Item Weight 1.16 pounds
Print length 373 pages
Publication date April 25, 2018

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