Analysis and geometry : MIMS-GGTM, Tunis, Tunisia, March 2014. In honour of Mohammed Salah Baouendi Ali Baklouti; Aziz El Kacimi; Sadok Kallel; Nordine Mir, eds

This book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of Mohammed Salah Baouendi, a most renowned figure in the field of several complex variables, who passed away in 2011. All research articles were written by leading experts, some of whom are prize winners in the fields of complex geometry, algebraic geometry and analysis. The book offers a valuable resource for all researchers interested in recent developments in analysis and geometry. Front Matter....Pages i-viii Salah Baouendi 1937–2011: A Mathematical Life on Three Continents....Pages 1-7 Compactness of the \(\bar{\partial }\) -Neumann Operator on the Intersection of Two Domains....Pages 9-15 CR Complexity and Hyperquadric Maps....Pages 17-34 Logarithmic Littlewood-Paley Decomposition and Applications to Orlicz Spaces....Pages 35-58 A Cauchy-Kovalevsky Theorem for Nonlinear and Nonlocal Equations....Pages 59-68 Dirichlet Eigenfunctions of the Square Membrane: Courant’s Property, and A. Stern’s and Å. Pleijel’s Analyses....Pages 69-114 Analyticity and Smoothness for a Class of First Order Nonlinear PDEs....Pages 115-139 Towards the Green-Griffiths-Lang Conjecture....Pages 141-159 On Microlocal Regularity for Involutive Systems of Complex Vector Fields of Tube Type in \({\mathbb {R}}^{n+m}\) ....Pages 161-196 Submanifolds of Hermitian Symmetric Spaces....Pages 197-206 Non-closed Range Property for the Cauchy-Riemann Operator....Pages 207-217 Quasicrystals and Control Theory....Pages 219-229 Holomorphic Approximation in Banach Spaces: A Survey....Pages 231-240 Pseudoconvex Mizohata Structures on Compact Manifolds....Pages 241-266