An analogue of the Paley-Wiener theorem for certain function spaces on SL(2<i>,</i>C)
An analogue of the Paley-Wiener theorem for certain function spaces on SL(2<i>,</i>C)
The classical theorem of Paley-Wiener is concerned with characterizing Fourier transforms of C°° functions of compact support on the real line.It states that an entire holomorphic function F is the Fourier-Laplace transform of a C 00 function on the real line R with support in | x | ^ R …