Average sampling and reconstruction in a reproducing kernel subspace of homogeneous type space

作者：Xian; Jun

来源：Mathematische Nachrichten, 2014, 287(8-9): 1042-1056.

DOI：10.1002/mana.201200203

• Irregular sampling
• reproducing kernel subspace
• homogeneous type space

In this paper, we first introduce a reproducing kernel subspace of L-p (X, rho, mu), where (X, rho, mu) is a homogeneous type space. Then we consider average sampling and reconstruction of signals in the reproducing kernel subspace of L-P (X, rho, mu), 1 <= p <= infinity. We show that signals in the reproducing kernel subspace of L-p(X, rho, mu) could be stably reconstructed from its average samples taken on a relatively-separated set with small gap. Exponential convergence is established for the iterative approximation-projection reconstruction algorithm.

• 出版日期2014-6
• 单位中山大学