Complex analysis : several complex variables and connections with PDE theory and geometry

 Content: Cover13; --
 Table of Contents13; --
 Preface --
 Focus on youth --
 The subject --
 Organization --
 Extended Curriculum Vitae of Linda Preiss Rothschild --
 Educational Background --
 Professional Employment --
 Honors and Fellowships --
 Selected Invited Lectures --
 Students --
 Selected National Committees and Offices --
 Editorial Positions --
 Publication List of Linda Preiss Rothschild --
 Oblique Polar Lines of fX 'f'2955;'g'2956; --
 Introduction --
 1. Polar structure of 2;X 'f'2955; 2; --
 2. Existence of polar oblique lines --
 3. Pullback and interaction --
 4. Interaction of strata revised --
 5. Examples --
 References --
 On Involutive Systems of First-order Nonlinear Partial Differential Equations --
 0. Introduction --
 1. Preliminaries --
 2. Main results and examples --
 3. Some lemmas and the proof of Theorem 2.1 --
 4. Proofs of Theorem 2.4 and Theorem 2.7 --
 References --
 Gevrey Hypoellipticity for an Interesting Variant of Kohns Operator --
 1. Introduction --
 2. The operator P is C8734; hypoelliptic --
 3. Gevrey hypoellipticity --
 4. Computing 923; --
 4.1. q-pseudodifferential calculus --
 4.2. The actual computation of the eigenvalue --
 4.3. Hypoellipticity of P --
 A. Appendix --
 References --
 Subelliptic Estimates --
 1. Introduction --
 2. Definition of subelliptic estimates --
 3. Subelliptic estimates in two dimensions --
 4. Subelliptic multipliers --
 5. Triangular systems --
 6. Necessary and sufficient conditions for subellipticity --
 7. Sharp subelliptic estimates --
 References --
 Invariant CR Mappings --
 1. Introduction --
 2. Properties of the invariant polynomials --
 3. Cyclic groups --
 4. Asymptotic information --
 5. Metacyclic groups --
 6. An application; failure of rigidity --
 References --
 On the Subellipticity of Some Hypoelliptic Quasihomogeneous Systems of Complex Vector Fields --
 1. Introduction and main result --
 1.1. Preliminaries on subellipticity and hypoellipticity --
 1.2. The main results --
 1.3. Comparison with previous results --
 2. Derridjs subellipticity criterion --
 3. Quasihomogeneous structure --
 3.1. Distorted geometry --
 3.2. Distorted dynamics --
 4. Analysis of the quasielliptic case (981;> 0) --
 4.1. Construction of 947; --
 4.2. Analysis of 961;(964;)m 8722; 961;m --
 4.3. The lower bound in the quasi-homogeneous case --
 4.4. The case of arcs in 981; 8805; 0 but with a zero at one end --
 5. Completion of the proof --
 Appendix A.A technical proposition --
 References --
 Invariance of the Parametric Oka Property --
 1. Oka properties --
 2. Subelliptic submersions and Serre fibrations --
 3. Convex approximation property --
 4. A parametric Oka principle for liftings --
 5. Ascent and descent of the parametric Oka property --
 References --
 Positivity of the 8706;-Neumann Laplacian --
 1. Introduction --
 2. Preliminaries --
 3. Positivity of the spectrum and essential spectrum --
 4. Hearing pseudoconvexity --
 References --
 Compactness Estimates for the 8706;-Neumann Problem in Weighted L2-spaces --
 1. Introduction --
 2. Weighted basic estimates --
 3. Weighted Sobolev spaces --
 4. Compactness estimates --
 References --
 Remarks on the Homogeneous Complex Monge-Ampere Equation --
 References --
 A Rado.
 Abstract:             This volume represents the proceedings of a conference on Several Complex Variables, PDE's, geometry, and their interactions, held July 7-11, 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild. The contributors are leading experts who were invited plenary speakers at the conference, or who were invited by the editors to contribute to this volume