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Multidimensional Complex Analysis and Partial Differential Equations
 
Edited by: Paulo D. Cordaro IME-USP, Brazil
Howard Jacobowitz Rutgers University, Camden, NJ
Multidimensional Complex Analysis and Partial Differential Equations
eBook ISBN:  978-0-8218-7796-8
Product Code:  CONM/205.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Multidimensional Complex Analysis and Partial Differential Equations
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Multidimensional Complex Analysis and Partial Differential Equations
Edited by: Paulo D. Cordaro IME-USP, Brazil
Howard Jacobowitz Rutgers University, Camden, NJ
eBook ISBN:  978-0-8218-7796-8
Product Code:  CONM/205.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2051997; 276 pp
    MSC: Primary 32; 35;

    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 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.

    Readership

    Graduate students and research mathematicians interested in analysis, differential equations and several complex variables.

  • Table of Contents
     
     
    • Articles
    • S. Berhanu — On extreme points and the strong maximum principle for CR functions [ MR 1447210 ]
    • Louis Boutet de Monvel — Symplectic cones and Toeplitz operators [ MR 1447211 ]
    • Haïm Brezis and Louis Nirenberg — A Lyapounov-Schmidt procedure involving a nonlinear projection [ MR 1447212 ]
    • Sagun Chanillo — Remarks on commutators of pseudo-differential operators [ MR 1447213 ]
    • Paulo D. Cordaro — A survey on the problem of local solvability for systems of vector fields [ MR 1447214 ]
    • Charles L. Epstein and Gennadi M. Henkin — Extension of CR-structures for $3$-dimensional pseudoconcave manifolds [ MR 1447215 ]
    • Gábor Francsics and Nicholas Hanges — Analytic singularities [ MR 1447216 ]
    • Gábor Francsics and Nicholas Hanges — Asymptotic behavior of the Bergman kernel and hypergeometric functions [ MR 1447217 ]
    • Pengfei Guan — Quasilinear degenerate elliptic equations in divergence form [ MR 1447218 ]
    • Lars Hörmander — Remarks on the Klein-Gordon and Dirac equations [ MR 1447219 ]
    • Jorge Hounie and Joaquim Tavares — Removable singularities of vector fields and the Nirenberg-Treves property [ MR 1447220 ]
    • Howard Jacobowitz — The Levi and Stein problems for elliptic structures [ MR 1447221 ]
    • Masatake Kuranishi — On a priori estimate on a manifold with singularity on the boundary [ MR 1447222 ]
    • László Lempert — The problem of complexifying a Lie group [ MR 1447223 ]
    • Nicolas Lerner — Energy methods via coherent states and advanced pseudo-differential calculus [ MR 1447224 ]
    • Yan Yan Li — Group invariant convex hypersurfaces with prescribed Gauss-Kronecker curvature [ MR 1447225 ]
    • G. A. Mendoza — Elliptic structures [ MR 1447226 ]
    • Abdelhamid Meziani — Mizohata structures on $S^2$: automorphisms and standardness [ MR 1447227 ]
    • Linda Preiss Rothschild — Holomorphically nondegenerate algebraic hypersurfaces and their mappings [ MR 1447228 ]
    • M. S. Baouendi — Analyticity of CR mappings of algebraic hypersurfaces [ MR 1447229 ]
    • A. Tumanov — Propagation of extendibility of CR functions on manifolds with edges [ MR 1447230 ]
    • S. M. Webster — A note on extremal discs and double valued reflection [ MR 1447231 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2051997; 276 pp
MSC: Primary 32; 35;

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 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.

Readership

Graduate students and research mathematicians interested in analysis, differential equations and several complex variables.

  • Articles
  • S. Berhanu — On extreme points and the strong maximum principle for CR functions [ MR 1447210 ]
  • Louis Boutet de Monvel — Symplectic cones and Toeplitz operators [ MR 1447211 ]
  • Haïm Brezis and Louis Nirenberg — A Lyapounov-Schmidt procedure involving a nonlinear projection [ MR 1447212 ]
  • Sagun Chanillo — Remarks on commutators of pseudo-differential operators [ MR 1447213 ]
  • Paulo D. Cordaro — A survey on the problem of local solvability for systems of vector fields [ MR 1447214 ]
  • Charles L. Epstein and Gennadi M. Henkin — Extension of CR-structures for $3$-dimensional pseudoconcave manifolds [ MR 1447215 ]
  • Gábor Francsics and Nicholas Hanges — Analytic singularities [ MR 1447216 ]
  • Gábor Francsics and Nicholas Hanges — Asymptotic behavior of the Bergman kernel and hypergeometric functions [ MR 1447217 ]
  • Pengfei Guan — Quasilinear degenerate elliptic equations in divergence form [ MR 1447218 ]
  • Lars Hörmander — Remarks on the Klein-Gordon and Dirac equations [ MR 1447219 ]
  • Jorge Hounie and Joaquim Tavares — Removable singularities of vector fields and the Nirenberg-Treves property [ MR 1447220 ]
  • Howard Jacobowitz — The Levi and Stein problems for elliptic structures [ MR 1447221 ]
  • Masatake Kuranishi — On a priori estimate on a manifold with singularity on the boundary [ MR 1447222 ]
  • László Lempert — The problem of complexifying a Lie group [ MR 1447223 ]
  • Nicolas Lerner — Energy methods via coherent states and advanced pseudo-differential calculus [ MR 1447224 ]
  • Yan Yan Li — Group invariant convex hypersurfaces with prescribed Gauss-Kronecker curvature [ MR 1447225 ]
  • G. A. Mendoza — Elliptic structures [ MR 1447226 ]
  • Abdelhamid Meziani — Mizohata structures on $S^2$: automorphisms and standardness [ MR 1447227 ]
  • Linda Preiss Rothschild — Holomorphically nondegenerate algebraic hypersurfaces and their mappings [ MR 1447228 ]
  • M. S. Baouendi — Analyticity of CR mappings of algebraic hypersurfaces [ MR 1447229 ]
  • A. Tumanov — Propagation of extendibility of CR functions on manifolds with edges [ MR 1447230 ]
  • S. M. Webster — A note on extremal discs and double valued reflection [ MR 1447231 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
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