Wigner type representations pseudodifferential operators interference
Issue Date:
2012
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 97p-112p
Abstract:
“Windowed-Wigner” representations, denoted by Wig and Wig_ , were introduced in [2] in connection with uncertainty principles and interferences problems. In this paper we present a more precise analysis of their behavior obtaining an estimate of the L2-norm of interferences of couples of “model” signals. We further define a suitable functional framework for the associated operators and show that they form a class of pseudodifferential operators which define a natural “path” between the multiplication, Weyl and Fourier multipliers operators.
