ON GLOBAL REPRESENTATION OF LAGRANGIAN DISTRIBUTIONS AND SOLUTIONS OFHYPERBOLIC-EQUATIONS

Authors
LAPTEV A SAFAROV Y VASSILIEV D
Citation
A. Laptev et al., ON GLOBAL REPRESENTATION OF LAGRANGIAN DISTRIBUTIONS AND SOLUTIONS OFHYPERBOLIC-EQUATIONS, Communications on pure and applied mathematics, 47(11), 1994, pp. 1411-1456
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Communications on pure and applied mathematics → ACNP
ISSN journal
00103640
Volume
47
Issue
11
Year of publication
1994
Pages
1411 - 1456
Database
ISI
SICI code
0010-3640(1994)47:11<1411:OGROLD>2.0.ZU;2-H
Abstract
In this paper we develop a new approach to the theory of Fourier integ ral operators. It allows us to represent the Schwartz kernel of a Four ier integral operator by one oscillatory integral with a complex phase function. We consider Fourier integral operators associated with cano nical transformations, having in mind applications to hyperbolic equat ions. As a by-product we obtain yet another formula for the Maslov ind ex. (C) 1994 John Wiley & Sons, Inc.