The generalized Clifford-Hermite continuous wavelet transform

DOI10.1007/BF03042219zbMath1221.42058OpenAlexW1970186335MaRDI QIDQ638936

Fred Brackx, Fransiscus Sommen

Publication date: 17 September 2011

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

Full work available at URL: https://doi.org/10.1007/bf03042219

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Functions of hypercomplex variables and generalized variables (30G35)

Related Items (11)

New type of Gegenbauer-Jacobi-Hermite monogenic polynomials and associated continuous Clifford wavelet transform. Some monogenic Clifford polynomials and associated wavelets ⋮ Orthogonality of the generalized Hermitean Clifford–Hermite polynomials ⋮ Quaternion-valued admissible wavelets and orthogonal decomposition of \(L^2(IG(2),\mathbb H)\) ⋮ Quaternion ridgelet transform and curvelet transform ⋮ Two-index Clifford-Hermite polynomials with applications in wavelet analysis ⋮ Generalized Hermitean Clifford-Hermite polynomials and the associated wavelet transform ⋮ New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets ⋮ The continuous quaternion algebra-valued wavelet transform and the associated uncertainty principle ⋮ Properties of Clifford-Legendre polynomials ⋮ Functional calculi generated by Clifford-Hermite wavelets ⋮ Clifford algebra-valued orthogonal polynomials in Euclidean space

Cites Work

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• Special functions in Clifford analysis and axial symmetry
• Directional wavelets revisited: Cauchy wavelets and symmetry detection in patterns
• Clifford-Hermite wavelets in Euclidean space
• Ten Lectures on Wavelets

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