Wikipedia tells that in 2 dimensions the correct formula is $sinc_C(x,y)=sinc(x)*sinc(y)$.
The problem I see with such expression is that if you draw a plot of this function, it has orthogonal "ripples" that do not look natural. Is there exists a 2-dimensional function with bandlimiting properties that looks like having round ripples?
Or should I just stick with product of sinc functions in 2 dimensions and assume it is correct - e.g. to perform 2D image rescaling.