  Green's functions with continuum spectra are a way of avoiding the strong
bounds on new physics from the absence of new narrow resonances in experimental
data. We model such a situation with a five-dimensional model with two branes
along the extra dimension $z$, the ultraviolet (UV) and the infrared (IR) one,
such that the metric between the UV and the IR brane is AdS$_5$, thus solving
the hierarchy problem, and beyond the IR brane the metric is that of a linear
dilaton model, which extends to $z\to\infty$. This simplified metric, which can
be considered as an approximation of a more complicated (and smooth) one, leads
to analytical Green's functions (with a mass gap $m_g \sim \textrm{TeV}$ and a
continuum for $s > m_g^2$) which could then be easily incorporated in the
experimental codes. The theory contains Standard Model gauge bosons in the bulk
with Neumann boundary conditions in the UV brane. To cope with electroweak
observables the theory is also endowed with an extra custodial gauge symmetry
in the bulk, with gauge bosons with Dirichlet boundary conditions in the UV
brane, and without zero (massless) modes. All Green's functions have analytical
expressions and exhibit poles in the second Riemann sheet of the complex plane
at $s=M_n^2-i M_n\Gamma_n$, denoting a discrete (infinite) set of broad
resonances with masses ($M_n$) and widths ($\Gamma_n$). For gauge bosons with
Neumann or Dirichlet boundary conditions, the masses and widths of resonances
satisfy the (approximate) equation $s= - 4 m_g^2 \mathcal W_n^2[\pm (1+i)/4]$,
where $\mathcal W_n$ is the $n$-th branch of the Lambert function.
