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Spectral analysis on homogeneous trees

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Publication:1271892
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DOI10.1006/aama.1997.0570zbMath0912.43005OpenAlexW1981828751MaRDI QIDQ1271892

Flavia Colonna, Joel M. Cohen

Publication date: 3 May 1999

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1997.0570


zbMATH Keywords

eigenfunctionshomogeneous treesdiscrete Laplacians


Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Discrete potential theory (31C20)


Related Items (3)

Universal properties of the isotropic Laplace operator on homogeneous trees ⋮ Trees as Brelot spaces. ⋮ Analytic eigendistributions and applications to homogeneous trees.



Cites Work

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  • The Poisson transform and representations of a free group
  • The 2-circle and 2-disk problems on trees
  • Hardy Spaces of Harmonic Functions on Homogeneous Isotropic Trees
  • The radial Fourier-Stieltjes algebra of free groups
  • Fourier Analysis on Local Fields. (MN-15)


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