Question about set notations: meaning of "G(R)"

[Blkmage8]

If f is in/is an element of G(R), is the fourier transform of f an element of G(R)? I'm not concerned about answering the question itself but I'm confused as to what G(R) actually means. Is that just a way of saying that G is the set of all real numbers? In the actual problem the "R" is in blackboard bold so I know that it means the set of all reals.

 

[stapel]

I'm confused as to what G(R) actually means.

How does your textbook / classnotes define the "G(whatever)" notation?

Eliz.

 

[Blkmage8]

That's the thing: they don't. The only thing I could think is that this is a linear space of all real numbers since I've seen something like E[a,b] denote a linear space before.

 

[daon]

One of my classes from way back when used capital G's every week for a different thing. Maybe if you supplied the title of the text and section someone could help.