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Is there a name for the space of functions that satisfy the following condition?
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Is there a particular name for the class of real one-dimensional functions which are:

  • f: [0,∞) -> [0,∞) (Non-negative)
  • The integral of f(x)xn from 0 to ∞ is bounded for all n in the natural numbers.

I know it is functions which decay fast but I am interested if there is a specific name.

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7 months ago