Paul Federbush e to the A, in a New Way, Some More to Say (7K, LaTeX) ABSTRACT. Expressions are given for the exponential of a hermitian matrix, A. Replacing A by iA these are explicit formulas for the Fourier Transform of exp(iA). They extend to any size A the previous results for the 2 X 2, 3 X 3, and 4 X 4 cases.