Of the mathematical research undertaken by Rademacher during this period, he is remembered most for the system of orthogonal functions (now known as Rademacher functions) which he introduced in a paper which was published in 1922.
Ng matematika pananaliksik nagtangka sa pamamagitan ng Rademacher panahon na ito, siya ay para sa remembered karamihan ng sistema ng orthogonal function (ngayon ay kilala bilang Rademacher function) na kung saan siya ipinakilala sa isang papel na kung saan ay nai-publish sa 1922.