A signal $$x(t) = sinc (\alpha t)$$, where $$\alpha$$ is a real constant, is the input to a Linear Time Invariant system whose impulse response is $$h(t) = sinc (\beta t)$$, where $$\beta$$ is a real constant. If min($$\alpha, \beta$$) denotes the minimum of $$\alpha$$ and $$\beta$$ and similarly, max($$\alpha, \beta$$) denotes the maximum of $$\alpha$$ and $$\beta$$ and K is a constant, which one of the following statements is true about the (here, $$sinc = \frac{\sin(\pi x)}{\pi x}$$) output of the system?