FANANAOct 29, 2018

Fourier-Zernike Series of Convolutions on Disks

arXiv:1810.123747 citationsh-index: 57
AI Analysis

This is a purely theoretical contribution for mathematicians working in harmonic analysis on disks, with no immediate application or empirical validation.

The paper develops a theoretical framework for Fourier-Zernike series of convolutions on disks, including analysis of zero-padded functions. No experimental results or concrete numbers are provided.

This paper presents a systematic study for analytic aspects of Fourier-Zernike series of convolutions of functions supported on disks. We then investigate different aspects of the presented theory in the cases of zero-padded functions.

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