A sampling theorem on homogeneous manifolds
A sampling theorem on homogeneous manifolds
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DOI：
10.1090/s0002-9947-00-02592-7
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发表时间：
2000-01-01
影响因子：
1.3
通讯作者：
Pesenson, I
中科院分区：
文献类型：
--
作者：
Pesenson, I
我们考虑流形上的球面指数型整函数和拉格朗日样条的推广。给出了Paley-Wiener定理的一个模拟。我们还证明了流形上的每个谱整函数都是由它在某些离散点集上的值唯一确定的，本文的主要结果是利用Lagrange样条由离散点集上的值重构谱整函数的公式。
We consider a generalization of entire functions of spherical exponential type and Lagrangian splines on manifolds. An analog of the Paley-Wiener theorem is given. We also show that every spectral entire function on a manifold is uniquely determined by its values on some discrete sets of points.The main result of the paper is a formula for reconstruction of spectral entire functions from their values on discrete sets using Lagrangian splines.