Hill's equation for a homogeneous tree

The analysis of Hill's operator $-D^2 + q(x)$ for $q$ even and periodic is extended from the real line to homogeneous trees ${cal T}$. Generalizing the classical problem, a detailed analysis of Hill's equation and its related operator theory on $L^2({cal T})$ is provided. The multipliers f...

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Bibliographic Details
Main Author: Robert Carlson
Format: Article
Language:English
Published: Texas State University 1997-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1997/23/abstr.html