naa a22 4500 510810993 CHVBK 20180411083442.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s12220-012-9304-6 doi (NATIONALLICENCE)springer-10.1007/s12220-012-9304-6 Windowed-Wigner Representations in the Cohen Class and Uncertainty Principles [Elektronische Daten] [Paolo Boggiatto, Evanthia Carypis, Alessandro Oliaro] For representations in the Cohen class, specific Cohen kernels depending only on one half of the variables are showed to produce two types of representations which can in a natural way be associated with time and frequency windows. This leads to the definition of representations with no interference for signals whose time-frequency content is confined in specific zones. We prove the main properties of these representations in the context of the Cohen class. We study then uncertainty principles at first in connection with support compactness and then in the framework of a general concept of duality among representations. Mathematica Josephina, Inc., 2012 Time-frequency representations nationallicence Wigner sesquilinear and quadratic form nationallicence Interference nationallicence Uncertainty principle nationallicence Boggiatto Paolo Department of Mathematics, University of Torino, Turin, Italy aut Carypis Evanthia Department of Mathematics, University of Torino, Turin, Italy aut Oliaro Alessandro Department of Mathematics, University of Torino, Turin, Italy aut Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/4(2013-10-01), 1753-1779 1050-6926 23:4<1753 2013 23 12220 https://doi.org/10.1007/s12220-012-9304-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-012-9304-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boggiatto Paolo Department of Mathematics, University of Torino, Turin, Italy aut NATIONALLICENCE 700 1- Carypis Evanthia Department of Mathematics, University of Torino, Turin, Italy aut NATIONALLICENCE 700 1- Oliaro Alessandro Department of Mathematics, University of Torino, Turin, Italy aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/4(2013-10-01), 1753-1779 1050-6926 23:4<1753 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer