Description
Book SynopsisSuitable for those interested in studying several complex variables in the context of partial differential equations, this work offers an account of the theories for these equations and their applications.
Table of ContentsReal and complex manifolds The Cauchy integral formula and its applications Holomorphic extension and pseudoconvexity $L^2$ theory for $\overline\partial$ on pseudoconvex domains The $\overline\partial$-Neumann problem on strongly pseudoconvex manifolds Boundary regularity for $\overline\partial$ on pseudoconvex domains Cauchy-Riemann manifolds and the tangential Cauchy-Riemann complex Subelliptic estimates for second order differential equations and $\square_b$ The tangential Cauchy-Riemann complex on pseudoconvex $CR$ manifolds Fundamental solutions for $\square_b$ on the Heisenberg group Integral representations for $\overline\partial$ and $\overline\partial_b$ Embeddability of abstract $CR$ structures Appendix Bibliography Table of notation Index.
