caa a22 4500 386385262 CHVBK 20180307112056.0 cr unu---uuuuu 161130e198903 xx s 000 0 eng 10.1017/S0305004100067888 doi S0305004100067888 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100067888 Genchev T. G. Mathematics Faculty of Sofia University, A. Ivanov 5, 1126 Sofia, Bulgaria A weighted version of the Paley-Wiener theorem [Elektronische Daten] [T. G. Genchev] A generalization of the classical theorems of Paley and Wiener[5] and Plancherel and Polya[6] concerning entire functions of exponential type is obtained. The proof relies only on the Cauchy theorem and the Hardy-Littlewood inequality for the Fourier transform (see [8, 9]). Since the functions under consideration are supposed to be defined only in two opposite octants in n, a version of the edge of the wedge theorem [7] is derived as a by-product. Copyright © Cambridge Philosophical Society 1989 Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/2(1989-03), 389-395 0305-0041 105:2<389 1989 105 PSP https://doi.org/10.1017/S0305004100067888 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100067888 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Genchev T. G. Mathematics Faculty of Sofia University, A. Ivanov 5, 1126 Sofia, Bulgaria NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/2(1989-03), 389-395 0305-0041 105:2<389 1989 105 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge