Unitarization of the Horocyclic Radon Transform on Symmetric Spaces

DOI10.1007/978-3-030-86664-8_1zbMath1493.44002arXiv2108.04338OpenAlexW3187938462MaRDI QIDQ5028162

Francesca Bartolucci, Matteo Monti, Filippo de Mari

Publication date: 8 February 2022

Published in: Harmonic and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.04338

zbMATH Keywords

Radon transformdual pairunitarization problem

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Harmonic analysis on homogeneous spaces (43A85) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Radon transform (44A12)

Cites Work

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• The continuous shearlet transform in arbitrary space dimensions
• On the regular representation of a nonunimodular locally compact group
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• The Radon transform intertwines wavelets and shearlets
• Simplified vanishing moment criteria for wavelets over general dilation groups, with applications to abelian and shearlet dilation groups
• A Poisson formula for semi-simple Lie groups
• A Course in Abstract Harmonic Analysis
• Spherical Functions on a Semisimple Lie Group, I
• Continuous wavelet transforms with Abelian dilation groups
• Unitarization and Inversion Formulae for the Radon Transform Between Dual Pairs
• INTEGRAL GEOMETRY AND ITS RELATION TO THE THEORY OF GROUP REPRESENTATIONS
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