Polynomial growth
= Polynomial growth
A function has polynomial growth when $|f(x)|\leq C(1+|x|)^N$ for some constants $C,N$. Such growth is slow enough for a <locally integrable function> to define a <tempered distribution>.
= Polynomial growth
A function has polynomial growth when $|f(x)|\leq C(1+|x|)^N$ for some constants $C,N$. Such growth is slow enough for a <locally integrable function> to define a <tempered distribution>.