再现核希尔伯特空间中的非线性展开

Sampling theory, signal processing, and data analysis Pub Date : 2023-09-29 DOI:10.1007/s43670-023-00069-3

Javad Mashreghi, William Verreault

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摘要

我们引入了一种再现核希尔伯特空间的展开方案，作为一种特例，它涵盖了解析函数的著名的Blaschke展开。将扩展方案进一步推广到Hardy空间$$H^p$$, $$1本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Nonlinear expansions in reproducing kernel Hilbert spaces

We introduce an expansion scheme in reproducing kernel Hilbert spaces, which as a special case covers the celebrated Blaschke unwinding series expansion for analytic functions. The expansion scheme is further generalized to cover Hardy spaces $$H^p$$ , $$1

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