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Rigorous Time Slicing Approach to Feynman Path Integrals

530.15

Fujiwara, Daisuke. Rigorous Time Slicing Approach to Feynman Path Integrals by Daisuke Fujiwara. -
IX, 333 p. 1 illus. online resource. - (Mathematical Physics Studies, ) Content notes : Part I Convergence of Time Slicing Approximation of Feynman Path Integrals -- 1 Feynman’s idea -- 2 Assumption on Potentials -- 3 Path Integrals and Oscillatory Integrals -- 4 Statement of Main Results -- 5 Convergence of Feynman Path Integrals -- 6 Feynman Path Integral and Schr¨odinger Equation -- Part II Supplement–Some Results of Real Analysis -- 7 Kumano-go–Taniguchi Theorem -- 8 Stationary Phase Method for Oscillatory Integrals over a Space of Large Dimension -- 9 L2-boundedness of Oscillatory Integral Operators -- Bibliography -- Index. 9784431565536 * Functional analysis. Differential equations, partial. Fourier analysis. Mathematical Physics. Functional Analysis. Partial Differential Equations. Fourier Analysis. * Series

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