A natural convolution of quaternion valued functions and its applications
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Publication:279614
DOI10.1016/j.amc.2014.06.007zbMath1334.42010OpenAlexW2069148398MaRDI QIDQ279614
Lakshmanan Akila, Rajakumar Roopkumar
Publication date: 28 April 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.007
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)
Related Items (12)
Quaternionic fractional wavelet transform ⋮ Multidimensional quaternionic Gabor transforms ⋮ Complex interpolation of \(L^p(\mathbb{C}, \mathbb{H})\) spaces with respect to Cullen-regular ⋮ Hyers-Ulam stability of linear quaternion-valued differential equations with constant coefficients via Fourier transform ⋮ Fractional Hartley transform on $G$-Boehmian space ⋮ Quaternionic fractional Fourier transform for Boehmians ⋮ Some results for the two-sided quaternionic Gabor Fourier transform and quaternionic Gabor frame operator ⋮ Multistability analysis of delayed quaternion-valued neural networks with nonmonotonic piecewise nonlinear activation functions ⋮ Ridgelet transform for quarternion-valued functions ⋮ Quaternionic Stockwell transform ⋮ One-dimensional quaternionic special affine Fourier transform ⋮ Quaternionic short-time fractional Fourier transform
Cites Work
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- Two-dimensional quaternion wavelet transform
- Harmonic analysis of neural networks
- Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
- Continuous wavelet transforms on the space \(L^{2}(\mathbf R,\mathbb H; dx)\)
- Wavelet analysis on a Boehmian space
- Continuous quaternion fourier and wavelet transforms
- Hilbert transform for boehmians
- On flexibility of boehmians
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