The spherical transform of a Schwartz function on the Heisenberg group
From MaRDI portal
Publication:1268771
DOI10.1006/jfan.1997.3197zbMath0914.22013OpenAlexW2063208367MaRDI QIDQ1268771
Chal Benson, J. W. Jenkins, Gail Ratcliff
Publication date: 24 January 1999
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/641e98118dfc01185e824eb8e8d046545739d74d
Related Items
Hardy-Hausdorff spaces on the Heisenberg group ⋮ Deconvolution for the Pompeiu Problem on the Heisenberg Group, I ⋮ Gelfand transforms of \(\mathrm{SO}(3)\)-invariant Schwartz functions on the free group \(N_{3,2}\) ⋮ Paley-Wiener theorems for the \(\mathrm U(n)\)-spherical transform on the Heisenberg group ⋮ A Scalar-Valued Fourier Transform for the Heisenberg Group ⋮ Nilpotent Gelfand pairs and spherical transforms of Schwartz functions. I: Rank-one actions on the centre ⋮ Unnamed Item ⋮ Gelfand transforms of polyradial Schwartz functions on the Heisenberg group ⋮ Marcinkiewicz multipliers on the Heisenberg group ⋮ On the Schwartz correspondence for Gelfand pairs of polynomial growth ⋮ Gelfand pairs on the Heisenberg group and Schwartz functions ⋮ Some spherical analysis related to the pairs \((U(n),H_n)\) and \((U(p,q),H_n),p + q = n\) ⋮ Positive definite temperature functions on the Heisenberg group ⋮ Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth ⋮ Generalized Besov type spaces on the dual of the Laguerre hypergroup ⋮ The Gelfand transform of homogeneous distributions on Heisenberg type groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Opérateurs de rang fini dans les représentations unitaires
- The Capelli identity, the double commutant theorem, and multiplicity-free actions
- L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
- Harmonic analysis as spectral theory of Laplacians
- Some remarks on nilpotent orbits
- \(L^p\) multipliers on the Heisenberg group
- A Tauberian theorem and tangential convergence for bounded harmonic functions on balls in \(\mathbb{C}^n\)
- Bounded \(K\)-spherical functions on Heisenberg groups
- Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
- On a connection between nilpotent groups and oscillatory integrals associated to singularities
- On spectral multipliers for Heisenberg and related groups
- A classification of multiplicity free actions
- Spectra for Gelfand pairs associated with the Heisenberg group
- On Gelfand Pairs Associated with Solvable Lie Groups
- An algebra associated with the generalized sublaplacian
- Fourier analysis on the Heisenberg group
- Hull-minimal ideals in the Schwartz algebra of the Heisenberg group
- A Theory of Spherical Functions. I