Clifford–Fourier transform on hyperbolic space

DOI10.1002/MMA.4253zbMath1371.42009OpenAlexW2560728647MaRDI QIDQ4977831

Gejun Bao, Lian Pan, Hendrik De Bie, Denis Constales

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4253

zbMATH Keywords

generating functionhyperbolic spacefractional calculusHelgason-Fourier transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Clifford algebras, spinors (15A66)

Cites Work

• The fractional Clifford-Fourier transform
• Harmonic analysis for vector fields on hyperbolic spaces
• Topics in harmonic analysis on homogeneous spaces
• Wavelets on the 2-sphere: A group-theoretical approach
• Continuous wavelet transform on the hyperboloid
• The Clifford-Fourier transform
• Harmonic analysis for spinors on real hyperbolic spaces
• The kernel of the generalized Clifford-Fourier transform and its generating function
• On the Clifford-Fourier Transform
• Generalized Helgason-Fourier transforms associated to variants of the Laplace-Beltrami operators on the unit ball in $\mathbb{R}^{n}$
• The Nonlinear Schrödinger Equation on Hyperbolic Space

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