论文标题
多元正交样条系统
Multivariate orthogonal spline systems
论文作者
论文摘要
在本文中，我们考虑了由花纹张量产品组成的正常系统。我们显示了包括A.E.在内的相应正交系列的一些收敛结果。 $ 1 <p <\ infty $，$ l^p $中的收敛性和无条件收敛，在依赖于样条订单的相关分区的某些几何条件下，后者证明了后者。
In this article we consider orthonormal systems consisting of tensor products of splines. We show some convergence results of the corresponding orthogonal series including a.e. convergence and unconditional convergence in $L^p$ for $1<p<\infty$, where the latter is proved under some geometric conditions on the involved partitions that depend on the spline order.
