For eachαwith|α| ≤k, we have∂ α f∈C 0(Rd;C), hence∂ α fis uniformly continuous, so ∥τx(∂ α f)−∂ α f∥ ∞ →0 asx→0

41 Sincef∈L 1(Rd, C), theL 1-term tends to 0 asx→0 by continuity of translations inL 1 (Folland · 1999

1 Pith paper cite this work. Polarity classification is still indexing.

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