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Functional Analysis and the Feynman Operator Calculus

Name: Functional Analysis and the Feynman Operator Calculus
Brand: Springer International Publishing AG
SKU: 19415530
Price: 123.5 EUR
Availability: InStock
Author: TEPPER GILL
ISBN: 9783319801803

TEPPER GILL

Language

English

Book Paperback

Libristo code: 19415530

Publishers Springer International Publishing AG, April 2018

This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman... Full description

Libristo code: 19415530

299 b

123.50 €

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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.