Generalized sampling expansions associated with quaternion Fourier transform

DOI10.1002/MMA.4423zbMath1395.42017arXiv1607.06116OpenAlexW3100933784MaRDI QIDQ4581051

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Publication date: 23 August 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.06116

zbMATH Keywords

convolution theoremgeneralized translationquaternion-valued signals

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)

Related Items (7)

Quaternion and fractional Fourier transform in higher dimension ⋮ Uncertainty principles for Wigner-Ville distribution associated with the quaternion offset linear canonical transform ⋮ Sampling expansions associated with quaternion difference equations ⋮ Quaternion hyperbolic Fourier transforms and uncertainty principles ⋮ Hayman theorem in \(\mathcal{R}_+^{n+1}\) with the Clifford analysis setting ⋮ Multichannel interpolation of nonuniform samples with application to image recovery ⋮ New applications of Clifford's geometric algebra

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