Spherical Fourier transform on the quaternionic Heisenberg group

DOI10.1080/10652469.2020.1739035zbMath1443.43010OpenAlexW3011476739MaRDI QIDQ5121000

Moussa Faress, Saïd Fahlaoui

Publication date: 16 September 2020

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2020.1739035

zbMATH Keywords

Fourier transformspherical functionspherical Fourier transformquaternionic Heisenberg group

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Harmonic analysis and spherical functions (43A90)

Related Items (3)

Bounded spherical functions and Heisenberg inequality on quaternionic Heisenberg group ⋮ Unnamed Item ⋮ Some uncertainty principles for the quaternion Heisenberg group

Cites Work

• Weyl transform and generalized spectrogram associated with quaternion Heisenberg group
• The heat kernel and Green functions of sub-Laplacians on the quaternion Heisenberg group
• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• Foundations of time-frequency analysis
• The heat kernel and the Riesz transforms on the quaternionic Heisenberg groups.
• Strichartz estimates on the quaternion Heisenberg group
• Weyl transforms associated with the Heisenberg group
• The heat kernel of sub-Laplace operator on nilpotent Lie groups of step two
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• The heat kernel on H-type groups
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