Asymptotic Expansion of Fresnel Integrals Relative to a Non-Singular Quadratic Form
We give an exposition of some of the methods of the mathematical theory of oscillatory integrals in infinitely many dimensions. In particular for a class of phase functions we extend the method of stationary phase and the corresponding asymptotic expansions to the infinite dimensional case.
KeywordsAsymptotic Expansion Oscillatory Integral Finite Dimensional Case Schrodinger Operator Real Separable Hilbert Space
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