Jump to ContentJump to Main Navigation
Feynman's Operational Calculus and BeyondNoncommutativity and Time-Ordering$
Users without a subscription are not able to see the full content.

Gerald W Johnson, Michel L. Lapidus, and Lance Nielsen

Print publication date: 2015

Print ISBN-13: 9780198702498

Published to Oxford Scholarship Online: September 2015

DOI: 10.1093/acprof:oso/9780198702498.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 30 March 2020

Epilogue: Miscellaneous Topics and Possible Extensions

Epilogue: Miscellaneous Topics and Possible Extensions

Chapter:
(p.343) 11 Epilogue: Miscellaneous Topics and Possible Extensions
Source:
Feynman's Operational Calculus and Beyond
Author(s):

Gerald W. Johnson

Michel L. Lapidus

Lance Nielsen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198702498.003.0011

A brief discussion is given of possible extensions to the theory developed in this book, and suggestions for the direction of future research in this general area are given. This is done via a collection of eleven open problems, of different scopes and levels of difficulty, and discussing possible techniques and directions of investigation. They involve many different areas and fields of pure mathematics, applied mathematics and theoretical physics, including functional analysis, operator theory, semigroup theory, operator algebras, harmonic analysis, probability theory, differential and partial differential equations, real analysis and measure theory, distribution theory, infinite-dimensional stochastic and geometric analysis, multivariable complex analysis, fractal geometry, quantum mechanics and quantum field theory, quantum statistical physics, renormalization theory, supersymmetry, quantum groups, and Hopf algebras, as well as aspects of noncommutative algebra, geometry, combinatorics and probability theory.

Keywords:   disentangling, semigroup, probability, measure, distribution, stochastic, renormalization, Hopf algebra, quantum group

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .