A Paley-Wiener theorem for the spectral projection of symmetric graphs

DOI10.2140/PJM.2017.290.117zbMath1377.43005OpenAlexW2737075236MaRDI QIDQ2363589

Shin Koizumi

Publication date: 20 July 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2017.290.117

zbMATH Keywords

Paley-Wiener theoremsymmetric graphHelgason-Fourier transformspherical projection

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on other specific Lie groups (43A80)

Cites Work

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• An analogue of the spectral projection for homogeneous trees
• The Poisson transform and representations of a free group
• The Plancherel measure for polygonal graphs
• The Plancherel measure for symmetric graphs
• Paley-Wiener theorems on groups of split rank one
• Generalized spectral projections on symmetric spaces of noncompact type: Paley-Wiener theorems
• The range of the Helgason-Fourier transformation on homogeneous trees

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