Two-sided Clifford wavelet function in \(Cl(p, q)\)

DOI10.1007/978-981-99-0447-1_25OpenAlexW4378696130MaRDI QIDQ6194091

Shabnam Jahan Ansari, V. R. Lakshmi Gorty

Publication date: 19 March 2024

Published in: Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-99-0447-1_25

zbMATH Keywords

Fourier transforminversion formulaParseval's theoremClifford wavelet function

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25)

Cites Work

• Unnamed Item
• Geometric roots of \(-1\) in Clifford algebras \(C \ell_{p,q}\) with \(p + q \leq 4\)
• Two-sided Clifford Fourier transform with two square roots of \(-1\) in \(Cl(p,q)\)
• The wavelet transform
• Clifford Fourier transform on multivector fields and uncertainty principles for dimensions \(n=2\pmod 4\) and \(n=3\pmod 4\)
• A general geometric Fourier transform convolution theorem
• Quaternion Fourier transform on quaternion fields and generalizations
• Square Roots of –1 in Real Clifford Algebras
• Continuous quaternion fourier and wavelet transforms

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