论文标题
Bergman-Szegő渐近公式和条纹问题
Bergman-Szegő asymptotic formulas and the strip problem
论文作者
论文摘要
在瞬间条件下识别尸体函数是一个经典问题。本文探讨了Tumanov在一份知名的有关条纹问题的论文中引入的想法，并在作者先前的工作中构建了构建，以表明可以通过涉及Szegő投影的渐近公式来计算加权的伯格曼预测，该公式涉及固定的一维曲线家族。引入了各种新运营商；另外，使用作者的CR Hartogs定理，通过缩小维度来得出类似的公式。
Identifying holomorphic functions by moment conditions is a classical problem. This paper explores ideas introduced by Tumanov in a well known paper on the strip problem, and building on the author's previous work, to show that weighted Bergman projections can be computed via asymptotic formulas involving Szegő projections a fixed 1-dimensional family of curves. Various new operators are introduced; in addition, similar formulas are derived via dimension reduction, using the author's CR Hartogs theorem.
