Functional Analysis and the Feynman Operator Calculus
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- Synopsis
- This book provides the mathematical foundations forFeynman's operator calculus and for the Feynman path integral formulation ofquantum mechanics as a natural extension of analysis and functional analysis tothe infinite-dimensional setting. In one application, the resultsare used to prove the last two remaining conjectures of Freeman Dyson forquantum electrodynamics. In another application, the results are used tounify methods and weaken domain requirements for non-autonomous evolutionequations. Other applications include a general theory of Lebesguemeasure on Banach spaces with a Schauder basis and a new approach to thestructure theory of operators on uniformly convex Banach spaces. This book isintended for advanced graduate students and researchers.
- Copyright:
- 2016
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783319275956
- Publisher:
- Springer International Publishing, Cham
- Date of Addition:
- 11/15/16
- Copyrighted By:
- Springer
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.