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A sufficient, but rather restrictive condition would be (Formula presented) i.e., V is an infinitely differentiable function that tends to zero together with all its derivatives more rapidly than any negative power function; (Formula presented) belongs to this class but not (Formula presented) that nevertheless has the property (P), nor (Formula presented) that does not have the property (Formula presented)
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A sufficient, but rather restrictive condition would be (Formula presented) i.e., V is an infinitely differentiable function that tends to zero together with all its derivatives more rapidly than any negative power function; (Formula presented) belongs to this class but not (Formula presented) that nevertheless has the property (P), nor (Formula presented) that does not have the property (Formula presented)
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