**Contemporary Mathematics**

Volume: 368;
2005;
414 pp;
Softcover

MSC: Primary 35; 32;

Print ISBN: 978-0-8218-3386-5

Product Code: CONM/368

List Price: $120.00

AMS Member Price: $96.00

MAA member Price: $108.00

**Electronic ISBN: 978-0-8218-7958-0
Product Code: CONM/368.E**

List Price: $120.00

AMS Member Price: $96.00

MAA member Price: $108.00

# Geometric Analysis of PDE and Several Complex Variables: Dedicated to François Treves

Share this page *Edited by *
*Sagun Chanillo; Paulo D. Cordaro; Nicholas Hanges; Jorge Hounie; Abdelhamid Meziani*

This volume is dedicated
to François Treves, who made substantial contributions to the
geometric side of the theory of partial differential equations (PDEs)
and several complex variables. One of his best-known contributions,
reflected in many of the articles here, is the study of hypo-analytic
structures.

An international group of well-known mathematicians contributed to the
volume. Articles generally reflect the interaction of geometry and analysis
that is typical of Treves's work, such as the study of the special types of
partial differential equations that arise in conjunction with CR-manifolds,
symplectic geometry, or special families of vector fields. There are many
topics in analysis and PDEs covered here, unified by their connections to
geometry.

The material is suitable for graduate students and research mathematicians
interested in geometric analysis of PDEs and several complex variables.

#### Readership

Graduate students and research mathematicians interested in geometric analysis of PDEs and several complex variables.

# Table of Contents

## Geometric Analysis of PDE and Several Complex Variables: Dedicated to Francois Treves

- Contents vii8 free
- Cusp-type singularities of real analytic curves in the complex plane 112 free
- The F. and M. Riesz property for vector fields 2536
- Gevrey hypo-ellipticity for sums of squares of vector fields: Some examples 4152
- W1,1-maps with values into S1 6980
- Analytic hypoellipticity and spectral problems for Schrödinger's equation 101112
- Formal solutions for higher order nonlinear totally characteristic PDEs with irregular singularities 121132
- Uniqueness of L∞ solutions for a class of conormal BV vector fields 133144
- Impact of lower order terms on a model PDE in two variables 157168
- Global analytic hypoellipticity for a class of quasilinear sums of squares of vector fields 177188
- Representations via overdetermined systems 201212
- A semi-explicit fundamental domain for a Picard modular group in complex hyperbolic space 211222
- Complex horospherical transform on real sphere 227238
- On analyticity in space variable of solutions to the KdV equation 233244
- The multinomial distribution and some Bergman kernels 249260
- Several results for holomorphic mappings from Bn into BN 267278
- Whitney and Mizohata structures 293304
- One-side Liouville theorems for a class of hypoelliptic ultraparabolic equations 305316
- Acyclic sheaves in Banach spaces 313324
- A Liouville type theorem for some conformally invariant fully nonlinear equations 321332
- Norm closure of classical pseudodifferential operators does not contain Hörmander's class 329340
- Remarks on the well-posedness of the nonlinear Cauchy problem 337348
- Representation of solutions of planar elliptic vector fields with degeneracies 357368
- Some recollections of working with François Treves 371382
- Boundary values problems on Lipschitz domains in Rn or Cn 375386
- Hyperbolic systems well posed in all Gevrey classes 405416