Singular convolution operators on the Heisenberg group
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Publication:3941836
DOI10.1090/S0273-0979-1982-14977-1zbMath0483.43005MaRDI QIDQ3941836
Publication date: 1982
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)
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\(L^{p}\) Hardy type inequality in the half-space on the H-type group, Hilbert integrals, singular integrals, and Radon transforms. I, Weak Type Estimates for a Singular Convolution Operator on the Heisenberg Group, Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets, Hilbert integrals, singular integrals, and Radon transforms. II, The \(k\)-plane transform on the Heisenberg group, Harmonic analysis of several complex variables: a survey, Uncertainty inequality for Radon transform on the Heisenberg group, The Radon transform on the Heisenberg group and the transversal Radon transform, Wavelet transform and Radon transform on the quaternion Heisenberg group, Analysis of second order differential operators on Heisenberg groups. I, Radon transforms on Siegel-type nilpotent Lie groups, Classical and quantum Heisenberg groups, their representations and applications, Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one, Unnamed Item, Pointwise convergence of singular convolution operators, Estimates for singular convolution operators on the Heisenberg group, Calderon-Zygmund kernels carried by linear subspaces of homogeneous nilpotent Lie algebras, L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
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