正则奇异算子的奇异热迹渐近性
The exotic heat-trace asymptotics of a regular-singular operator revisited
摘要：
我们讨论了奇异端具有一般边界条件的正则奇异算子的热迹渐近的奇异性质，如Falomir，Muschietti，Pisani和Seeley以及Kirsten，Loya和Park所观察到的。我们解释了他们的结果如何交替地遵循一般的热核建设的Mooers，一个自然的问题，尚未得到解决，因为后者的工作没有明确阐述的奇异结构的热迹膨胀超出声明的非多均匀性的热核。
英文摘要：
We discuss the exotic properties of the heat-trace asymptotics for a regular-singular operator with general boundary conditions at the singular end, as observed by Falomir, Muschietti, Pisani and Seeley as well as by Kirsten, Loya and Park. We explain how their results alternatively follow from the general heat kernel construction by Mooers, a natural question that has not been addressed yet, as the latter work did not elaborate explicitly on the singular structure of the heat trace expansion beyond the statement of non-polyhomogeneity of the heat kernel.
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。
