A. E. Tumanov, “Extension of <nobr>$\mathrm{CR}$</nobr> functions into a wedge from a manifold of finite type”, Mat. Sb. (N.S.), 1988, Volume 136(178), Number 1(5),Pages <nobr>128

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Extension of $\mathrm{CR}$ functions into a wedge from a manifold of finite type

A. E. Tumanov

Abstract: It is shown that, if a generating manifold $M\in C^n$ does not contain proper submanifolds of the same $\mathrm{CR}$ dimension as $M$, then all $\mathrm{CR}$ functions can be extended from $M$ into some wedge with edge $M$. In particular, extension of all $\mathrm{CR}$ functions into a wedge necessarily obtains for manifolds of finite type.
Bibliography: 21 titles.

UDC: 517.55

MSC: Primary 32D15; Secondary 32A99

Received: 20.04.1987