Say I have two Schwartz fucntions $f(x)$ and $g(x)$.
Does $\int f(x)g(x)dx \approx 0$ imply that $f(x)$ $g(x)$ have virtually non-overlapping support ?
Thank you for your time.
Say I have two Schwartz fucntions $f(x)$ and $g(x)$.
Does $\int f(x)g(x)dx \approx 0$ imply that $f(x)$ $g(x)$ have virtually non-overlapping support ?
Thank you for your time.
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No, just take $f$ even and $g$ odd.