Multidimensional Complex Analysis and Partial Differential Equations (Contemporary Mathematics)

Multidimensional Complex Analysis and Partial Differential Equations (Contemporary Mathematics)

By: Paulo D. Cordaro (editor), Howard Jacobowitz (editor)Paperback

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This collection of papers by outstanding contributors in analysis, partial differential equations, and several complex variables is dedicated to Professor Francois 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 Klein-Gordon and Dirac equations, Toeplitz operators, elliptic structures, complexification of Lie groups, pseudo-differential operators, nonlinear equations, CR and Mizohata structures, analytic hypoellipticity, overdetermined systems, and group invariant convex hypersurfaces.


On extreme points and the strong maximum principle for CR functions by S. Berhanu Symplectic cones and Toeplitz operators by L. Boutet de Monvel A Lyapounov-Schmidt procedure involving a nonlinear projection by H. Brezis and L. Nirenberg Remarks on commutators of pseudo-differential operators by S. Chanillo A survey on the problem of local solvability for systems of vector fields by P. D. Cordaro Extension of CR-structures for 3-dimensional pseudoconcave manifolds by C. L. Epstein and G. M. Henkin Analytic singularities by G. Francsics and N. Hanges Asymptotic behavior of the Bergman kernel and hypergeometric functions by G. Francsics and N. Hanges Quasilinear degenerate elliptic equations in divergence form by P. Guan Remarks on the Klein-Gordon and Dirac equations by L. Hormander Removable singularities of vector fields and the Nirenberg-Treves property by J. Hounie and J. Tavares The Levi and Stein problems for elliptic structures by H. Jacobowitz On a priori estimate on a manifold with singularity on the boundary by M. Kuranishi The problem of complexifying a Lie group by L. Lempert Energy methods via coherent states and advanced pseudo-differential calculus by N. Lerner Group invariant convex hypersurfaces with prescribed Gauss-Kronecker curvature by Y. Y. Li Elliptic structures by G. A. Mendoza Mizohata structures on $S^2$: Automorphisms and standardness by A. Meziani Holomorphically nondegenerate algebraic hypersurfaces and their mappings by L. P. Rothschild Analyticity of CR mappings of algebraic hypersurfaces by M. S. Baouendi Propagation of extendibility of CR functions on manifolds with edges by A. Tumanov A note on extremal discs and double valued reflection by S. M. Webster.

Product Details

  • ISBN13: 9780821805091
  • Format: Paperback
  • Number Of Pages: 276
  • ID: 9780821805091
  • ISBN10: 0821805096

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