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.
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Zielgruppe
Für höhere Schule und Studium
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ISBN-13
978-0-8218-2428-3 (9780821824283)
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Schweitzer Klassifikation
An a priori estimate for $D^\psi_b$ An a priori estimate for $D^f_b$-complex with respect to $t_f$ The smoothing operator The algorithm for constructing a sequence of embeddings The local embedding theorem.
