His primary interest was in the theory of characteristic functions.
"On Hamilton's characteristic function for a narrow beam of light".
This is an important relationship because it connects the characteristic functions.
The indicator function is also known as the characteristic function.
The product of two stable characteristic functions is given by:
To see this, write out the definition of characteristic function:
This result was confirmed by Hall under weaker conditions using characteristic functions.
The role of the characteristic function is to determine which elements belong or not to a certain subset.
They play a similar role as the characteristic functions for random variable.
The characteristic function has the following properties of the degree:
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