 Tempered distributions generalize the bounded (or slow-growing) locally integrable functions; all distributions with compact support and all square-integrable functions are tempered distributions.More generally, all functions that are products of polynomials with elements of "Lp"(R"n") for "p" ≥ 1 are tempered distributions.The "tempered distributions" can also be characterized as "slowly growing", meaning that each derivative of "T" grows at most as fast as some polynomial.