On Paley-Wiener and Hardy theorems for \(NA\) groups

DOI10.1007/S00209-003-0547-6zbMath1045.22008OpenAlexW2001741206MaRDI QIDQ1434504

Sundaram Thangavelu

Publication date: 7 July 2004

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0547-6

zbMATH Keywords

Paley-Wiener theoremHardy's theoremHelgason Fourier transformHeat kernelNA group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)

Related Items (7)

Fourier and Radon transform on harmonic 𝑁𝐴 groups ⋮ Hardy's theorem for the continuous wavelet transform ⋮ Huygens' principle and a Paley-Wiener type theorem on Damek-Ricci spaces ⋮ An analogue of Beurling's theorem for NA groups ⋮ The biradial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces ⋮ Some properties of horocycles on Damek-Ricci spaces ⋮ Uniqueness for solutions of the Schrödinger equation on trees

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