An analogue of the spectral projection for homogeneous trees

DOI10.32917/hmj/1372180512zbMath1277.43014OpenAlexW1601593078WikidataQ128899705 ScholiaQ128899705MaRDI QIDQ372595

Shin Koizumi

Publication date: 9 October 2013

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hmj/1372180512

zbMATH Keywords

spectral projectionPaley-Wiener theoremgeneralized spherical functionhomogeneous treeHelgason-Fourier transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on other specific Lie groups (43A80) Groups acting on trees (20E08)

Related Items (2)

A Paley-Wiener theorem for the spectral projection of symmetric graphs ⋮ The range of the spectral projection associated with the Dunkl Laplacian

Cites Work

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• Image of the Schwartz space under spectral projection
• The Poisson transform and representations of a free group
• An overview of harmonic analysis on the group of isometries of a homogeneous tree
• On the Poisson transform on symmetric spaces of real rank one
• Generalized spectral projections on symmetric spaces of noncompact type: Paley-Wiener theorems
• The range of the Helgason-Fourier transformation on homogeneous trees
• Invariant operators on function spaces on homogeneous trees

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