Is there a "standard" probability measure one would use for the set of smooth real-valued functions on [a, b]?(adsbygoogle = window.adsbygoogle || []).push({});

My intuition is picturing a setup where you cut out shapes in the x-y plane, and then the set of functions whose graphs are contained in that shape have a measure proportional to the Euclidean area of the shape. But I can't quite make that intuition exact.

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# Probability measure on smooth functions

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