Harmonic analysis on metrized graphs

2004/07/25 by Matthew Baker, Baker, Matthew, Robert Rumely +1
Mathematics · #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #math.CA #math.CO

paper · pdf · doi:10.48550/arxiv.math/0407427

47 pages; v2 corrects several typos, exposition has been modified, and additional references have been added

arxiv created 2005/07/27 · arxiv updated 2009/12/01

Abstract

We study the Laplacian on a metrized graph, and its eigenfunctions.

Related

• Metrized graphs, electrical networks, and Fourier analysis
• Spectral Convergence of the Discrete Laplacian on Models of a Metrized Graph
• Harmonic functions of general graph Laplacians
• Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat\n Equation
• The tau constant and the discrete Laplacian matrix of a metrized graph