A New Approach to the Local Embedding Theorem of CR-structures of N 4 (the Local Solvability for the Operator B in the Abstract Sense) (Memoirs of the

A New Approach to the Local Embedding Theorem of CR-structures of N 4 (the Local Solvability for the Operator B in the Abstract Sense) (Memoirs of the

By: T. Akahori (author)Paperback

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Description

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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Contents

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.

Product Details

  • publication date: 15/12/1987
  • ISBN13: 9780821824283
  • Format: Paperback
  • ID: 9780821824283
  • weight: 479
  • ISBN10: 0821824287

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