# sombrero2d¶

The two-dimensional sombrero function integrated wrt the Lebesgue measure. 1

The integrand is

$f(x) = \frac{\operatorname{sin}(\pi r w)}{\pi r w}$

on the domain $$\Omega=[-3, 3]^2$$. Above, $$w$$ is the w parameter and $$r=\|x\|$$ is the norm of the input vector $$x$$.

Parameters

w (Optional[Union[float, Real, floating]]) – The positive frequency parameter. Defaults to 1.0.

Returns