New Approach to the Local Embedding Theorem of Cr-Structures for N (Memoirs of the American Mathematical Society)

This book is aimed at researchers in complex analysis, several complex variables, or partial differential equations. Kuranishi proved that any abstract strongly pseudo convex CR-structure of real dimension $\geq 9$ can be locally embedded in a complex euclidean space. For the case of real dimension $=3$, there is the famous Nirenberg counter example, but the cases of real dimension $=5$ or 7 were left open. The author of this book establishes the result for real dimension $=7$ and, at the same time, presents a new approach to Kuranishi's result.