Prony's Method in Banach Modules

Ilya Krishtal

doi:10.1007/s00041-025-10200-8

2025-11-14

Ilya Krishtal

Götz E. Pfander *

DOI：10.1007/s00041-025-10200-8

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摘要

En 中文

我们证明了，从连续傅里叶系数中恢复稀疏信号的经典Prony方法可以被视为一个谱识别问题，用于识别一个已知线性算子的未知限制。这为该方法的现有和新型推广及其应用提供了一种统一的视角，其中一些内容将在本文中进行讨论。

Keyword:

Banach modules

Beurling spectrum

Superresolution

Annihilating filters

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期刊

Journal of Fourier Analysis and Applications

IF:

1.2

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机构

northern illinois university

学者数:

372

论文数: 206

被引数: 0

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