Paley-Wiener-type theorem for analytic functions in tubular domains

[摘要] Herein, a weighted version of the Paley-Wiener-type theorem for analytic functions in a tubular domain over a regular cone is obtained by using H-P space methods. Then, the classical n-dimensional Paley Wiener theorem is generalized to a case wherein 0 < p < 2. Finally, a version of the edge-of-the-wedge theorem is obtained as an application of the weighted theorems. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-01

[关键词] Paley-Wiener-type theorem;Fourier transform;Regular cone;Tubular domain