Revisiting the Fourier transform on the Heisenberg group

DOI10.5565/PUBLMAT_58114_03zbMath1285.43003OpenAlexW2008411408MaRDI QIDQ2438267

R. Lakshmi Lavanya, Sundaram Thangavelu

Publication date: 10 March 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1387570390

zbMATH Keywords

Fourier transformHeisenberg groupheat kernelSchwartz classFourier-Weyl transform

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80) Heat kernel (35K08)

Related Items (7)

Müntz-Szàsz analogues for compact extensions of Heisenberg groups ⋮ On the Fourier transform on function algebras on locally compact abelian groups ⋮ A frequency space for the Heisenberg group ⋮ An analogue of Ingham's theorem on the Heisenberg group ⋮ Integral transforms characterized by convolution ⋮ Fourier multipliers on the Heisenberg group revisited ⋮ Tempered distributions and Fourier transform on the Heisenberg group

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