TY - JOUR AU - Srivastava, H.M. AU - González, B.J. AU - Negrin, E.R. T1 - A characterization of the Second Quantization by using the Segal duality transform LA - eng PY - 2013 SP - 6236 EP - 6240 T2 - Applied Mathematics and Computation SN - 0096-3003 VL - 219 IS - 11 AB - The main object of this article is to establish the necessary and sufficient conditions in order to represent the Second Quantization in terms of a certain class of the Fourier-Wiener or the Wiener transforms via the Segal duality transform. We first analyze the finite-dimensional case and derive a matrix expression of this class of the Fourier-Wiener or the Wiener transforms. We then extend this analysis to derive the corresponding results for a certain family of the Fourier-Wiener or the Wiener transforms over Hilbert spaces. © 2012 Elsevier Inc. All rights reserved. DO - 10.1016/J.AMC.2012.11.080 UR - https://portalciencia.ull.es/documentos/5ed31f732999526aa74125cd DP - Dialnet - Portal de la Investigación ER -