A new approach to the local embedding theorem of CR-structures for n≧4 (the local solvability for the operator [overbarred partial] b in the abstract sense)
著者
書誌事項
A new approach to the local embedding theorem of CR-structures for n≧4 (the local solvability for the operator [overbarred partial] b in the abstract sense)
(Memoirs of the American Mathematical Society, no. 366)
American Mathematical Society, 1987
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注記
On t.p. "[overbarred partial]" appear as symbols and "b" is subscript
Includes bibliographies
内容説明・目次
内容説明
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.
目次
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.
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