Fourier–Zernike Series of Convolutions on Disks

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 28 Nov 2018Embargo end date: 01 Jan 2018 English Publisher:MDPI AGJournal:Mathematics, volume 6, page 290 (eissn: 2227-7390,

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Authors: Arash Ghaani Farashahi; Gregory S. Chirikjian;

doi: 10.3390/math6120290 , 10.48550/arxiv.1810.12374

arXiv: 1810.12374

Fourier–Zernike Series of Convolutions on Disks

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Abstract

This paper presents a systematic study of the 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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Keywords

Zernike polynomials, Numerical Analysis (math.NA), Functional Analysis (math.FA), Primary 42C05, 43A30, 43A85, Secondary 43A10, 43A15, 43A20, Harmonic analysis on homogeneous spaces, Mathematics - Functional Analysis, Fourier–Zernike series, Fourier-Zernike series, QA1-939, FOS: Mathematics, convolution, Mathematics - Numerical Analysis, Mathematics

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