Functional Analysis and the Feynman Operator Calculus (Hardcover, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	April 2016
First published:	2016
Authors:	Tepper Gill • Woodford Zachary
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Hardcover
Pages:	354
Edition:	1st ed. 2016
ISBN-13:	978-3-319-27593-2
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-319-27593-3
Barcode:	9783319275932

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