Contemporary Mathematics 1997; 276 pp; softcover Volume: 205 ISBN10: 0821805096 ISBN13: 9780821805091 List Price: US$71 Member Price: US$56.80 Order Code: CONM/205
 This collection of papers by outstanding contributors in analysis, partial differential equations, and several complex variables is dedicated to Professor François Treves in honor of his 65th birthday. There are five important survey articles covering analytic singularities, holomorphically nondegenerate algebraic hypersurfaces, analyticity of CR mappings, removable singularities of vector fields, and local solvability for systems of vector fields. The other papers are original research contributions on topics such as KleinGordon and Dirac equations, Toeplitz operators, elliptic structures, complexification of Lie groups, pseudodifferential operators, nonlinear equations, CR and Mizohata structures, analytic hypoellipticity, overdetermined systems, and group invariant convex hypersurfaces. Readership Graduate students and research mathematicians interested in analysis, differential equations and several complex variables. Table of Contents  S. Berhanu  On extreme points and the strong maximum principle for CR functions
 L. Boutet de Monvel  Symplectic cones and Toeplitz operators
 H. Brezis and L. Nirenberg  A LyapounovSchmidt procedure involving a nonlinear projection
 S. Chanillo  Remarks on commutators of pseudodifferential operators
 P. D. Cordaro  A survey on the problem of local solvability for systems of vector fields
 C. L. Epstein and G. M. Henkin  Extension of CRstructures for 3dimensional pseudoconcave manifolds
 G. Francsics and N. Hanges  Analytic singularities
 G. Francsics and N. Hanges  Asymptotic behavior of the Bergman kernel and hypergeometric functions
 P. Guan  Quasilinear degenerate elliptic equations in divergence form
 L. Hörmander  Remarks on the KleinGordon and Dirac equations
 J. Hounie and J. Tavares  Removable singularities of vector fields and the NirenbergTreves property
 H. Jacobowitz  The Levi and Stein problems for elliptic structures
 M. Kuranishi  On a priori estimate on a manifold with singularity on the boundary
 L. Lempert  The problem of complexifying a Lie group
 N. Lerner  Energy methods via coherent states and advanced pseudodifferential calculus
 Y. Y. Li  Group invariant convex hypersurfaces with prescribed GaussKronecker curvature
 G. A. Mendoza  Elliptic structures
 A. Meziani  Mizohata structures on \(S^2\): Automorphisms and standardness
 L. P. Rothschild  Holomorphically nondegenerate algebraic hypersurfaces and their mappings
 M. S. Baouendi  Analyticity of CR mappings of algebraic hypersurfaces
 A. Tumanov  Propagation of extendibility of CR functions on manifolds with edges
 S. M. Webster  A note on extremal discs and double valued reflection
