HOMOTOPY FORMULAS FOR THE $ \bar\partial$-OPERATOR ON CPn AND THE RADON-PENROSE TRANSFORM
HOMOTOPY FORMULAS FOR THE $ \bar\partial$-OPERATOR ON CPn AND THE RADON-PENROSE TRANSFORM
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DOI：
10.1070/im1987v028n03abeh000898
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发表时间：
1987-06
期刊：
影响因子：
--
通讯作者：
P. Polyakov;G. Khenkin
中科院分区：
文献类型：
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作者：
P. Polyakov;G. Khenkin
构造了复射影空间CPN中区域上的微分形式的整体积分表示。这些表示的结果如下：第一，代数流形中q-伪凸和q-伪凹区域上非齐次Cauchy-Riemann方程的可解性准则；第二，这些方程的解的显式公式和界；第三，CPN中q-线性凹域上(0，q)-型的核和像的描述以及Radon-Penrose变换的逆公式。参考书目：23种。
Global integral representations are constructed for differential forms on domains in complex projective space CPn. Consequences of these representations are the following: first, criteria for the solvability of the inhomogeneous Cauchy-Riemann equations on q-pseudoconvex and q-pseudoconcave domains in an algebraic manifold; second, explicit formulas and bounds for solutions of these equations; and third, a description of the kernel and image and an inversion formula for the Radon-Penrose transform of (0,q)-forms on q-linearly concave domains in CPn. Bibliography: 23 titles.