Complex Analysis

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.