Higher order analogues to the tangential Cauchy-Riemann equations for real submanifolds of with C.R. singularity

Author:
Gary Alvin Harris

Journal:
Proc. Amer. Math. Soc. **74** (1979), 79-86

MSC:
Primary 32F25; Secondary 32C05

DOI:
https://doi.org/10.1090/S0002-9939-1979-0521877-4

MathSciNet review:
521877

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Abstract: An infinite succession of higher order operators are developed for real submanifolds of , with possible C.R. singularity, which reduce to the tangential Cauchy-Riemann operator in the case of a C.R. submanifold. Certain known holomorphic approximation and extension results for C.R. submanifolds are then ``extended'' to the non-C.R. case.

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DOI:
https://doi.org/10.1090/S0002-9939-1979-0521877-4

Article copyright:
© Copyright 1979
American Mathematical Society