A note on classical and p-adic Fr\'echet functional equations with restrictions
Abstract
Given X,Y two Q-vector spaces, and f:X -> Y, we study under which conditions on the sets Bk⊂eq X, k=1,...,s, if h1h2... hsf(x)=0 for all x in X and hk in Bk, k=1,2,...,s, then h1h2... hsf(x)=0 for all (x,h1,...,hs) in Xs+1.
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