Rigged Hilbert Space X: Eq (1) and (2)

[TTT]

TL;DR

Does the exponential function (1), where k >0, belong to the Rigged Hilbert Space and Why? The Rigged Hilbert Space is defined as the set of functions X(x) such that Inner product (2) is finite. * on (2) refers to a conjugate

Thanks

X=e^+or-kx (1)
<X(x)|Φ(x)>=∫_-∞^∞X*(x)Φ(x)dx (2)
where Φ(x) satisfies the following.
∫_-∞^∞|Φ(x)|²(1+|x|)ⁿdx is finte if n=0, 1, 2,...

 

[dextercioby]

1. This looks much better, if you learned how to use LaTex. There are tutorials here. Just look for "LaTex typesetting"
2. It looks suspiciously like a course homework question. So according to the PF Hw policy, what are your ideas on the problem?