A restriction theorem for the Heisenberg group
From MaRDI portal
Publication:807919
DOI10.2307/1971471zbMath0731.43003OpenAlexW2318368089MaRDI QIDQ807919
Publication date: 1990
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971471
Fourier transformHeisenberg groupconvolution operatorGelfand transformKohn-Laplacianspectral resolutionsquare integrablepolyradial integrable functions
Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)
Related Items
A restriction theorem for Grushin operators, Restriction theorems on Métiver groups associated to joint functional calculus, Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin Laplacian, Strichartz estimates and Fourier restriction theorems on the Heisenberg group, Spectral summability for the quartic oscillator with applications to the Engel group, Local Dispersive and Strichartz Estimates for the Schrödinger Operator on the Heisenberg Group, Maximal estimates for the bilinear Riesz means on Heisenberg groups, A restriction theorem for Métivier groups, A restriction theorem for the quaternion Heisenberg group, Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups, Wavelet transform and Radon transform on the quaternion Heisenberg group, A restriction theorem associated with the generalized Sublaplacian, A restriction theorem for the H-type groups, Fractional time-dependent Schrödinger equation on the Heisenberg group, Besov spaces and Strichartz estimates on the Heisenberg group, Bilinear Riesz means on the Heisenberg group, Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth, Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups, Spectral multipliers for sub-Laplacians with drift on Lie groups, Spectral multipliers on Heisenberg-Reiter and related groups
