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lark
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I was reading in a book, says [tex]\mu[/tex] is a measure with compact support [tex]K[/tex] in C, meaning [tex]\mu(U)=0[/tex] for [tex]U\cap K=0.[/tex].
Is [tex]\mu(K)[/tex] assumed to be finite in this case?
It doesn't say in the book, but they make a statement which is true if that's so. Is there usually some assumption about measures being finite on compact sets?
I know complex measures are assumed to be finite. But in C you would usually be integrating over a positive measure (which could be infinite normally?)
thanks
Laura
Is [tex]\mu(K)[/tex] assumed to be finite in this case?
It doesn't say in the book, but they make a statement which is true if that's so. Is there usually some assumption about measures being finite on compact sets?
I know complex measures are assumed to be finite. But in C you would usually be integrating over a positive measure (which could be infinite normally?)
thanks
Laura