3 papers
math-ph2002
Characterization of SU(1,1) coherent states in terms of affine group wavelets
Jacqueline Bertrand, Michele Irac-Astaud
The Perelomov coherent states of SU(1,1) are labeled by elements of the quotient of SU(1,1) by the compact subgroup. Taking advantage of the fact that this quotient is isomorphic t…
math-ph1997
Symbolic calculus on the time-frequency half-plane
J. Bertrand, P. Bertrand
The study concerns a special symbolic calculus of interest for signal analysis. This calculus associates functions on the time-frequency half-plane f>0 with linear operators define…
q-alg1996
Invariance quantum groups of the deformed oscillator algebra
J. Bertrand, M. Irac-Astaud
A differential calculus is set up on a deformation of the oscillator algebra. It is uniquely determined by the requirement of invariance under a seven-dimensional quantum group. Th…