1 citations · 1 across the 1 of their papers we have counts for
6 papers
Non-commutative tomography: A tool for data analysis and signal processing
F. Briolle, V. I. Man'ko, B. Ricaud +1
Tomograms, a generalization of the Radon transform to arbitrary pairs of non-commuting operators, are positive bilinear transforms with a rigorous probabilistic interpretation whic…
Tomographic analysis of reflectometry data II: the phase derivative
F. Briolle, R. Lima, R. Vilela Mendes
A tomographic technique has been used in the past to decompose complex signals in its components. The technique is based on spectral decomposition and projection on the eigenvector…
A tomographic analysis of reflectometry data I: Component factorization
Francoise Briolle, Ricardo Lima, Vladimir I. Man'ko +1
Many signals in Nature, technology and experiment have a multi-component structure. By spectral decomposition and projection on the eigenvectors of a family of unitary operators, a…
Quantum sensitive dependence
V. I. Man'ko, R. Vilela Mendes
Wave functions of bounded quantum systems with time-independent potentials, being almost periodic functions, cannot have time asymptotics as in classical chaos. However, bounded qu…
Tomograms and other transforms. A unified view
M. A. Man'ko, V. I. Man'ko, R. Vilela Mendes
A general framework is presented which unifies the treatment of wavelet-like, quasidistribution, and tomographic transforms. Explicit formulas relating the three types of transform…
On the nonlinearity interpretation of q- and f-deformation and some applications
V. I. Man'ko, R. Vilela Mendes
q-oscillators are associated to the simplest non-commutative example of Hopf algebra and may be considered to be the basic building blocks for the symmetry algebras of completely i…