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math.CA2003
Examples of wavelets for local fields
Robert L. Benedetto
Using the wavelet theory introduced by the author and J. Benedetto, we present examples of wavelets on p-adic fields and other locally compact abelian groups with compact open subg…
math.NT2003
Wandering domains and nontrivial reduction in non-archimedean dynamics
Robert L. Benedetto
Let K be a non-archimedean field with residue field k, and suppose that k is not an algebraic extension of a finite field. We prove two results concerning wandering domains of rati…