On Global Representation of Lagrangian Distributions and Solutions of Hyperbolic Equations
On Global Representation of Lagrangian Distributions and Solutions of Hyperbolic Equations
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拉格朗日分布的全局表示及双曲方程的解
DOI：
10.1002/cpa.3160471102
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发表时间：
1994
影响因子：
3
通讯作者：
D. Vassiliev
中科院分区：
文献类型：
--
作者：
A. Laptev;Y. Safarov;D. Vassiliev
在本文中，我们发展了一种新的方法来理论的傅里叶积分算子。它允许我们用一个具有复相函数的振荡积分来表示傅里叶积分算子的Schwartz核。我们认为傅立叶积分算子与正则变换，在考虑应用程序的双曲型方程。作为副产品，我们得到了另一个马斯洛夫指数的公式。(C)John Wiley & Sons，Inc.
In this paper we develop a new approach to the theory of Fourier integral operators. It allows us to represent the Schwartz kernel of a Fourier integral operator by one oscillatory integral with a complex phase function. We consider Fourier integral operators associated with canonical transformations, having in mind applications to hyperbolic equations. As a by-product we obtain yet another formula for the Maslov index. (C) 1994 John Wiley & Sons, Inc.