热半群的正则化迹与Taylor展开
Regularized traces and Taylor expansions for the heat semigroup
摘要：
我们计算系数的渐近正则化的痕迹和相关的跟踪（谱）分布的薛定谔运营商，与短期和长期的潜力。给出了Schrodinger半群的一个核展开式，并建立了它与非交换泰勒公式的联系。
英文摘要：
We compute the coefficients in asymptotics of regularized traces and associated trace (spectral) distributions for Schrodinger operators, with short and long range potentials. A kernel expansion for the Schrodinger semigroup is derived, and a connection with non-commutative Taylor formulas is established.
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。
