  Explicit representations of the eigenvalues of the peridynamic operator have
been recently derived in [5]. These representations are given in terms of
generalized hypergeometric functions. Asymptotic analysis of the hypergeometric
functions is utilized to identify the asymptotic behavior of the eigenvalues.
We show that the eigenvalues are bounded when the kernel is integrable and
diverge when the kernel is singular. The bounds and decay rates are presented
explicitly in terms of the spatial dimension, the integral kernel and the
peridynamic horizon.
