A frequency space for the Heisenberg group

DOI10.5802/AIF.3246zbMath1416.43005arXiv1609.03850OpenAlexW2963038713WikidataQ127783686 ScholiaQ127783686MaRDI QIDQ2421914

Raphaël Danchin, Jean-Yves Chemin, Hajer Bahouri

Publication date: 18 June 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03850

zbMATH Keywords

Fourier transformHeisenberg groupHermite functionsfrequency space

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

Related Items (9)

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 ⋮ Paley-Wiener-Schwartz theorems on quadratic CR manifolds ⋮ Local Dispersive and Strichartz Estimates for the Schrödinger Operator on the Heisenberg Group ⋮ A Scalar-Valued Fourier Transform for the Heisenberg Group ⋮ Point interactions for 3D sub-Laplacians ⋮ Tempered distributions and Fourier transform on the Heisenberg group ⋮ Fourier multipliers on graded Lie groups

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• A Pseudo-differential Calculus on Graded Nilpotent Lie Groups

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