Pseudodifferential operators and applications. (Proceedings of the Symposium on Pseudodifferential Operators and Fourier Integral Operators with Applications to Partial Differential Equations Held at the University of Notre Dame, Notre Dame, Indiana, April 2-5, 1984). (English) Zbl 0562.00004

Proceedings of Symposia in Pure Mathematics, 43. Providence, R.I.: American Mathematical Society (AMS). VII, 300 p. $ 44.00 (1985).

Table of contents: Contents: S. Alinhac and G. Métivier, Propagation of local analyticity for the Euler equation (pp. 1–4); José L. Antoniano and Gunther A. Uhlmann, A functional calculus for a class of pseudodifferential operators with singular symbols (pp. 5–16); M. S. Baouendi, Uniqueness in a class of nonlinear Cauchy problems (pp. 17–20); Michael Beals, Propagation of smoothness for nonlinear second-order strictly hyperbolic differential equations (pp. 21–44); R. Beals and R. R. Coifman, Multidimensional inverse scatterings and nonlinear partial differential equations (pp. 45–70); R. R. Coifman and Yves Meyer, Nonlinear harmonic analysis and analytic dependence (pp. 71–78); H. O. Cordes, On some \(C^*\)-algebras and Fr’echet\(^*\)-algebras of pseudodifferential operators (pp. 79–104); G. Eskin, Boundary value problems for second-order elliptic equations in domains with corners (pp. 105–131); Peter C. Greiner, Imbedding \(\mathbb C^n\) in \(H_n\) (pp. 133–147); Victor Guillemin, On some results of Gel’fand in integral geometry (pp. 149–155); Lars Hörmander, The propagation of singularities for solutions of the Dirichlet problem (pp. 157–165); Masaki Kashiwara and Pierre Schapira, Application of the microlocal theory of sheaves to the study of \({\mathcal O}_X\) (pp. 167–174); Carlos E. Kenig, Recent progress on boundary value problems on Lipschitz domains (pp. 175–205); J. J. Kohn, Estimates for \(\bar\partial_b\) on pseudoconvex CR manifolds (pp. 207–217); Yves Meyer, Real analysis and operator theory (pp. 219–235); Linda Preiss Rothschild, Integrability and holomorphic extendibility for rigid CR structures (pp. 237–240); Johannes Sjöstrand, Multiple wells and tunneling (pp. 241–245); Nancy K. Stanton and David S. Tartakoff, The real analytic and Gevrey regularity of the heat kernel for \(\square_b\) (pp. 247–259); Michael E. Taylor, Fefferman-Phong inequalities in diffraction theory (pp. 261–300).
The articles of this volume will be reviewed individually under the abbreviation ”Pseudodifferential operators and applications, Proc. Symp., Notre Dame/Indiana 1984, Proc. Symp. Pure Math. 43”.

MSC:

00B25	Proceedings of conferences of miscellaneous specific interest
35-06	Proceedings, conferences, collections, etc. pertaining to partial differential equations
46-06	Proceedings, conferences, collections, etc. pertaining to functional analysis
47-06	Proceedings, conferences, collections, etc. pertaining to operator theory
58-06	Proceedings, conferences, collections, etc. pertaining to global analysis

Keywords:

Pseudodifferential operators; Proceedings; Symposium; Notre Dame/Indiana