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Functional analysis and the Feynman ...

Gill, Tepper L.

Functional analysis and the Feynman operator calculus

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Functional analysis and the Feynman operator calculusby Tepper L. Gill, Woodford W. Zachary.
作者:	Gill, Tepper L.
其他作者:	Zachary, Woodford W.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xix, 354 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Functional analysis.
電子資源:	http://dx.doi.org/10.1007/978-3-319-27595-6
ISBN:	9783319275956$q(electronic bk.)

Functional analysis and the Feynman operator calculus
Gill, Tepper L.

Functional analysis and the Feynman operator calculus[electronic resource] /by Tepper L. Gill, Woodford W. Zachary. - Cham :Springer International Publishing :2016. - xix, 354 p. :ill., digital ;24 cm.

Preliminary Background -- Integration on Infinite-dimensional Spaces -- HK-Integral and HK-Spaces -- Analysis on Hilbert Space -- Operators on Banach Space -- Spaces of von Neumann Type -- The Feynman Operator Calculus -- Applications of the Feynman Calculus.

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.

ISBN: 9783319275956$q(electronic bk.)

Standard No.: 10.1007/978-3-319-27595-6doiSubjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

Functional analysis and the Feynman operator calculus
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520 $a 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.
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