Functional Analysis and the Feynman Operator Calculus

Tepper Gill (u. a.)

ISBN 10: 3319801805 / ISBN 13: 9783319801803

Published by Springer, 2018

About this Item

Functional Analysis and the Feynman Operator Calculus | Tepper Gill (u. a.) | Taschenbuch | xix | Englisch | 2018 | Springer | EAN 9783319801803 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 114236228

Bibliographic Details

• Title: Functional Analysis and the Feynman Operator Calculus
• Publisher: Springer
• Publication Date: 2018
• Language: English
• ISBN 10: 3319801805
• ISBN 13: 9783319801803
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 21D millimeters 235 millimeters width by 155 millimeters height by 21 millimeters depth
• Weight: 569 grams
• Seller catalogs:
  • Bücher

About this title

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.