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Complex Analysis

:	Emil J. Straube, Ngaiming Mok, Joseph J. Kohn, Norbert Hungerbühler, Peter Ebenfelt
:	Peter Ebenfelt, Norbert Hungerbühler, Joseph J. Kohn, Ngaiming Mok, Emil J. Straube
:	Complex Analysis
:	Birkhäuser Basel
:	9783034600095
:	1
:	CHF 133.60
:

:	Analysis
:	English

:	340
:	Wasserzeichen
:	PC/MAC/eReader/Tablet
:	PDF

This volume presents the proceedings of a conference on Several Complex Variables, PDE's, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.

	Title Page	3
	Copyright Page	4
	Table of Contents	5
	Preface	7
	Focus on youth	8
	The subject	8
	Organization	9
	Extended Curriculum Vitae of Linda Preiss Rothschild	11
	Educational Background	12
	Professional Employment	12
	Honors and Fellowships	12
	Selected Invited Lectures	13
	Students	13
	Selected National Committees and Offices	13
	Editorial Positions	14
	Publication List of Linda Preiss Rothschild	15
	Oblique Polar Lines of X \|f\|2.\|g\|2µ	21
	Introduction	21
	1. Polar structure of X \|f\|2.	23
	2. Existence of polar oblique lines	25
	3. Pullback and interaction	29
	4. Interaction of strata revised	31
	5. Examples	38
	References	42
	On Involutive Systems of First-order Nonlinear Partial Differential Equations	44
	0. Introduction	44
	1. Preliminaries	45
	2. Main results and examples	49
	3. Some lemmas and the proof of Theorem 2.1	56
	4. Proofs of Theorem 2.4 and Theorem 2.7	63
	References	68
	Gevrey Hypoellipticity for an Interesting Variant of Kohn’s Operator	70
	1. Introduction	70
	2. The operator P is C8 hypoelliptic	72
	3. Gevrey hypoellipticity	75
	4. Computing .	77
	4.1. q-pseudodifferential calculus	77
	4.2. The actual computation of the eigenvalue	83
	4.3. Hypoellipticity of P	88
	A. Appendix	90
	References	91
	Subelliptic Estimates	93
	1. Introduction	93
	2. Definition of subelliptic estimates	94
	3. Subelliptic estimates in two dimensions	95
	4. Subelliptic multipliers	97
	5. Triangular systems	100
	6. Necessary and sufficient conditions for subellipticity	106
	7. Sharp subelliptic estimates	108
	References	110
	Invariant CR Mappings	113
	1. Introduction	113
	2. Properties of the invariant polynomials	116
	3. Cyclic groups	117
	4. Asymptotic information	119
	5. Metacyclic groups	122
	6. An application	failure of rigidity123
	References	125
	On the Subellipticity of Some Hypoelliptic Quasihomogeneous Systems of Complex Vector Fields	126
	1. Introduction and main result	127
	1.1. Preliminaries on subellipticity and hypoellipticity	127
	1.2. The main results	128
	1.3. Comparison with previous results	129
	2. Derridj’s subellipticity criterion	130
	3. Quasihomogeneous structure	131
	3.1. Distorted geometry	131
	3.2. Distorted dynamics	132
	4. Analysis of the quasielliptic case ( .	132
	134	132
	4.1. Construction of .	134
	4.2. Analysis of .(t)m - .m	134
	4.3. The lower bound in the quasi-homogeneous case	134
	4.4. The case of arcs in . = 0 but with a zero at one end	136
	5. Completion of the proof	137
	Appendix A. A technical proposition	138
	References	139
	Invariance of the Parametric Oka Property	141
	1. Oka properties	141
	2. Subelliptic submersions and Serre fibrations	145
	3. Convex approximation property	148
	4. A parametric Oka principle for liftings	148
	5. Ascent and descent of the parametric Oka property	157
	References	158
	Positivity of the ¯ .-Neumann Laplacian	161
	1. Introduction	161
	2. Preliminaries	162
	3. Positivity of the spectrum and essential spectrum	166
	4. Hearing pseudoconvexity	168
	References	172
	Compactness Estimates for the .-Neumann Problem in Weighted L2-spaces	175
	1. Introduction	175
	2. Weighted basic estimates	177
	3. Weighted Sobolev spaces	181
	4. Compactness estimates	184
	References	188
	Remarks on the Homogeneous Complex Monge-Ampere Equation	191
	References	200
	A Rado Theorem for Locally Solvable Structures of Co-rank One	202
	1. Introduction	202
	2. The approximation theorem	203
	3. Structures of co-rank one	209
	4. A Rado theorem for structures of co-rank one	210
	5. An application to uniqueness	215
	References	217
	Applications of a Parametric Oka Principle for Liftings	219
	1. Introduction	219
	2. The parametric Oka principle for liftings	221
	3. Equivalence of the basic and the parametric Oka properties	222
	4. The convex interpolation property	223