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portada Functional Analysis and the Feynman Operator Calculus
Type
Physical Book
Publisher
Author
Year
2016
Language
English
Pages
376
Format
Hardcover
ISBN13
9783319275932
Edition No.
1
Categories

Functional Analysis and the Feynman Operator Calculus

Tepper L. Gill; Woodford W. Zachary (Author) · Springer · Hardcover

Functional Analysis and the Feynman Operator Calculus - Tepper L. Gill; Woodford W. Zachary

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Synopsis "Functional Analysis and the Feynman Operator 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.

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