Convolution of non-periodic function with another function

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We're given a signal $X_a(t)=X_b(t)*[4\cdot \text{sinc}(4t)]$, with $X_b(t)$ being a non-periodic function.

We have to find the periodicity of $X_a(t)$, and the period if it's periodic.

Are there any properties for non-periodic functions that can be used to get the required results?