Geometric Analysis of Several Complex Variables and Related Topics.

Intro -- Contents -- Preface -- Analytic Vectors in Locally Integrable Structures -- Subellipticity and Maximal Hypoellipticity for Two Complex Vector Fields in (2 + 2)-Variables -- Existence of Trace for Solutions of Locally Integrable Systems of Vector Fields -- Chern-Moser Operators and Weighted Jet Determination Problems -- Jet Embeddability of Local Automorphism Groups of Real-Analytic CR Manifolds -- Splitting of Holomorphic Cocycles with Estimates: Several Variables -- A Gysin Sequence for Manifolds with R-action -- A Potential Theoretic Characterization of Compactness of the ∂-Neumann Problem -- Duality between Harmonic and Bergman Spaces -- On the Solvability and Hypoellipticity of Complex Vector Fields -- 1. Generalities about Differential Operators of Principal Type -- 2. Local Solvability of Smooth Vector Fields -- 3. Complex Vector Fields in Two Dimensions -- 4. Complex Vector Fields Hypoelliptic off their Critical Points -- 5. Quasi-Elliptic Vector Fields -- 6. Problems and Possible Directions of Further Research -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.