Wavelet transform of Dini Lipschitz functions on the quaternion algebra

DOI10.1007/S00006-020-01112-5zbMath1457.42049OpenAlexW3120848829MaRDI QIDQ2226215

A. Bouhlal, Radouan Daher, Azzedine Achak, N. Safouane

Publication date: 11 February 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-020-01112-5

zbMATH Keywords

quaternion algebracomplex-valued functionwindowed linear canonical transformadmissible quaternion wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (6)

Equivalence between K-functionals and modulus of smoothness on the quaternion algebra ⋮ Inversion of the windowed linear canonical transform with Riemann sums ⋮ Yang-Fourier transforms of Lipschitz local fractional continuous functions ⋮ Mellin transform of log-Lipschitz functions and equivalence of \(K\)-functionals and modulus of smoothness generated by the Mellin Steklov operator ⋮ Octonion Fourier transform of Lipschitz real-valued functions of three variables on the octonion algebra ⋮ Some new estimates concerning the Mellin transform on the space \(X_c^2\)

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