d-bar-b和Szego核的解析性分解
Breakdown of analyticity for d-bar-b and Szego kernels
摘要：
CR流形M_m = { Im z_2= Re z_1^{2m} }（m= 2，3，.）是M给出的反例。基督和D。Geller，到d-bar-b的解析亚椭圆性和Szego核的实解析性。为了直接解释Szego核的实解析性的崩溃，我们给出了一个博雷尔求和型表示的Szego核的简单奇异解的方程d-bar-bu = 0。
英文摘要：
The CR manifold M_m = { Im z_2= Re z_1^{2m} } (m=2,3,...) is the counterexample, which has been given by M. Christ and D. Geller, to analytic hypoellipticity of d-bar-b and real analyticity of the Szego kernel. In order to give a direct interpretation for the breakdown of real analyticity of the Szego kernel, we give a Borel summation type representation of the Szego kernel in terms of simple singular solutions of the equation d-bar-b u = 0.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
