Radon transforms on Siegel-type nilpotent Lie groups
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Publication:2279093
DOI10.1007/s11464-019-0787-3zbMath1460.43003OpenAlexW2976953066WikidataQ115377919 ScholiaQ115377919MaRDI QIDQ2279093
Xingya Fan, Wen-Jun Yuan, Jinsen Xiao, Jianxun He
Publication date: 12 December 2019
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-019-0787-3
Radon transform (44A12) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80)
Cites Work
- Infinite dimensional multiplicity free spaces. III: Matrix coefficients and regular functions
- The Radon transform on the Heisenberg group and the transversal Radon transform
- Radon transform on nilpotent Lie groups
- L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
- Harmonic analysis of a nilpotent group and function theory on Siegel domains of type II
- Group representations on Hilbert spaces defined in terms of \(\overline\partial_b\)-cohomology on the Silov boundary of a Siegel domain
- Pluriharmonic \(H^2\) functions on symmetric irreducible Siegel domains
- Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds
- Admissible wavelets and inverse Radon transform associated with the affine homogeneous Siegel domains of type. II
- Wavelet transform and Radon transform on the quaternion Heisenberg group
- Realization of Hermitian symmetric spaces as generalized half-planes
- Integral Geometry and Radon Transforms
- On a Hilbert space of analytic functions and an associated integral transform part I
- Radon transform on symmetric matrix domains
- On the role of the Heisenberg group in harmonic analysis
- Singular convolution operators on the Heisenberg group
- A Plancherel Formula for Idyllic Nilpotent Lie Groups
- Algebras of invariant functions on the Shilov boundaries of Siegel domains
- Square Integrable Representations of Nilpotent Groups
- RADON TRANSFORM ON H-TYPE AND SIEGEL-TYPE NILPOTENT GROUPS
- On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
- INVERSION OF THE RADON TRANSFORM ASSOCIATED WITH THE CLASSICAL DOMAIN OF TYPE ONE
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