The quaternion Fourier and wavelet transforms on spaces of functions and distributions

DOI10.1007/S40687-020-00209-4zbMath1465.42042OpenAlexW3035823455MaRDI QIDQ783078

Drema Lhamu, Sunil Kumar Singh

Publication date: 30 July 2020

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

Full work available at URL: https://doi.org/10.1007/s40687-020-00209-4

zbMATH Keywords

quaternion algebraquaternion Fourier transformquaternion wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (1)

General double-sided orthogonal planes split QFT and wavelet transform on functions and distribution spaces

Cites Work

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• An uncertainty principle for quaternion Fourier transform
• Quaternion Fourier transform on quaternion fields and generalizations
• Wavelets in a generalized Sobolev space
• Quaternion Fourier Transforms for Signal and Image Processing
• Directional uncertainty principle for quaternion Fourier transform

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