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Rigorous Time Slicing Approach to Feynman Path Integrals

✍ Scribed by Daisuke Fujiwara (auth.)


Publisher
Springer Japan
Year
2017
Tongue
English
Leaves
333
Series
Mathematical Physics Studies
Category
Library

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✦ Table of Contents


Front Matter....Pages i-ix
Front Matter....Pages 1-1
Feynman’s Idea....Pages 3-19
Assumption on Potentials....Pages 21-38
Path Integrals and Oscillatory Integrals....Pages 39-77
Statement of Main Results....Pages 79-95
Convergence of Feynman Path Integrals....Pages 97-135
Feynman Path Integral and SchrΓΆdinger Equation....Pages 137-186
Front Matter....Pages 187-187
Kumano-go–Taniguchi Theorem....Pages 189-243
Stationary Phase Method for Oscillatory Integrals over a Space of Large Dimension ....Pages 245-309
(L^2) -boundedness of Oscillatory Integral Operators....Pages 311-325
Back Matter....Pages 327-333

✦ Subjects


Mathematical Physics;Functional Analysis;Partial Differential Equations;Fourier Analysis


πŸ“œ SIMILAR VOLUMES


Feynman Path Integrals
✍ S. Albeverio, P. Combe, R. Hscogh-Krohn, G. Rideau, M. Sirugue-Collin, M. Sirugu πŸ“‚ Library πŸ“… 1979 πŸ› Springer 🌐 English