Fourier transform of Schwartz functions on the Heisenberg group

DOI10.4064/sm214-3-1zbMath1277.43012OpenAlexW2091666119MaRDI QIDQ4920572

Fulvio Ricci, Bianca Di Blasio, Francesca Astengo

Publication date: 21 May 2013

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm214-3-1

zbMATH Keywords

Fourier transformHeisenberg groupSchwartz space

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (7)

Paley-Wiener theorems for the \(\mathrm U(n)\)-spherical transform on the Heisenberg group ⋮ A frequency space for the Heisenberg group ⋮ Local Dispersive and Strichartz Estimates for the Schrödinger Operator on the Heisenberg Group ⋮ A Scalar-Valued Fourier Transform for the Heisenberg Group ⋮ Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth ⋮ Tempered distributions and Fourier transform on the Heisenberg group ⋮ Gelfand Triples for the Kohn–Nirenberg Quantization on Homogeneous Lie Groups

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