Standard notation for "open integral"

  • Thread starter qu_bio
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  • #1
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If I have a function defined over an integral, e.g.

## F(t') = \int_{-\infty}^{\infty} dt \tilde{F}(t,t') ##

is there a standard way to denote this integral as being "Open", that is to say if I write

## H = F(t') G(t) ##

I want this to mean

## H = \int_{-\infty}^{\infty} dt \tilde{F}(t,t') G(t) ##

Rather than

## H = [\int_{-\infty}^{\infty} dt \tilde{F}(t,t') ] * G(t) ##

I could make up some notation, but I'd rather not if one exists!

Many thanks
 

Answers and Replies

  • #2
154
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I don't know too much about this, but I believe a convolution is a closely related concept.
 
  • #3
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I don't know too much about this, but I believe a convolution is a closely related concept.
Yes I suppose it looks similar if F(t,t') -> F(t-t'), but my question is a little more general.
 
  • #4
154
36
Yes I suppose it looks similar if F(t,t') -> F(t-t'), but my question is a little more general.
One more difference:-
##\int_{-\infty}^{+\infty}\bar{F}(t'-t)G(t) dt=[\bar{F}\ast G](t')## not ##F(t')##.
 

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