Bahri, Mawardi Quaternion algebra-valued wavelet transform. (English) Zbl 1247.42032 Appl. Math. Sci., Ruse 5, No. 69-72, 3531-3540 (2011). The author considers the continuous quaternion wavelet transform of a quaternion-valued bivariate \(L^2\)-function, which was studied in [M. Bahri, R. Ashino and R. Vaillancourt, Appl. Math. Comput. 218, No. 1, 10 – 21 (2011; Zbl 1232.65192)]. He gives an alternative proof for the inner product relation of the continuous quaternion wavelet transform. Reviewer: Manfred Tasche (Rostock) Cited in 5 Documents MSC: 42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems 15A66 Clifford algebras, spinors 42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type Keywords:continuous quaternion wavelet transform; quaternion algebra; Clifford algebra; quaternion-valued function; quaternion Fourier transform; admissible quaternion wavelet; inner product relation; reproducing formula Citations:Zbl 1232.65192 PDFBibTeX XMLCite \textit{M. Bahri}, Appl. Math. Sci., Ruse 5, No. 69--72, 3531--3540 (2011; Zbl 1247.42032) Full Text: Link