| Contents |
| Reaction-diffusion equations with spatial difference operators are treated on infinite networks using semigroup methods. The main function space B is a Banach algebra generated by functions which are flat at infinity. There is an associated compactification of the network which promotes the discussion of spatial asymptotics. For certain evolution problems in the space B, diffusive effects vanish at infinity, greatly simplifying the remote dynamics. Some related eigenfunction expansions are also considered. |
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