A spectral Paley-Wiener theorem

DOI10.1007/BF01388416zbMath0803.43001MaRDI QIDQ690366

William O. Bray

Publication date: 18 December 1994

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178613

zbMATH Keywords

Fourier transformLaplacianpolar coordinatesFourier inversion formulaentire eigenfunctionHuygen's principlePaley- Wiener theorem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items (4)

Paley-Wiener theorems for the \(\mathrm U(n)\)-spherical transform on the Heisenberg group ⋮ The range of the spectral projection associated with the Dunkl Laplacian ⋮ A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on \(\mathbb C^n\) ⋮ Corrigendum to ``Harmonic analysis as spectral theory of Laplacians

Cites Work

• Scattering frequencies for the wave equation with a potential term
• Harmonic analysis as spectral theory of Laplacians
• Corrigendum to ``Harmonic analysis as spectral theory of Laplacians
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
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