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Book synopsis

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.§

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Functional Analysis and the Feynman Operator Calculus
• Author: Tepper Gill, Woodford Zachary
• Language: English
• Binding: Hardback
• Number of pages: 354
• EAN: 9783319275932
• ISBN: 3319275933
• ID: 02844177
• Publisher: Springer International Publishing AG
• Weight: 716 g
• Dimensions: 166 × 241 × 26 mm
• Date of publishing: 30. March 2016

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