11 citations · 26 across the 16 of their papers we have counts for
17 papers
Time-frequency representation of nonstationary signals: the IMFogram
Philippe Barbe, Antonio Cicone, Wing Suet Li +1
Iterative filtering methods were introduced around 2010 to improve definitions and measurements of structural features in signal processing. Like many applied techniques, they pres…
q-Algebraic Equations, their power series solutions, and the asymptotic behavior of their coefficients
Ph. Barbe, J. Cano, P. Fortuny Ayuso +1
We give a systematic study of q-algebraic equations. The questions of existence, uniqueness and regularity of the solutions are solved in the space of grid-based Hahn series. The r…
Some Tauberian theory for the q-Lagrange inversion
Ph. Barbe, W. P. McCormick
We consider formal power series defined through the functional q-equation of the q-Lagrange inversion. Under some assumptions, we obtain the asymptotic behavior of the coefficients…
A conditional limit theorem for a bivariate representation of a univariate random variable and conditional extreme values
Ph. Barbe, Miriam Isabel Seifert
We consider a real random variable X represented through a random pair of real random variables (R,T) and a deterministic function u as X=Ru(T). Under some additional assumptions,…
On q-algebraic equations and their power series solutions
Ph. Barbe, W. P. McCormick
We study the existence of formal power series solutions to q-algebraic equations. When a solution exists, we give a sufficient condition on the equation for this solution to have a…
q-Catalan bases and their dual coefficients
Ph. Barbe, W. P. McCormick
We define q-Catalan bases which are a generalization of the q-polynomials z^n(z,q)_n. The determination of their dual bases involves some q-power series termed dual coefficients. W…