222 citations · 550 across the 18 of their papers we have counts for
4 papers · 1 filter
Partial inner product spaces, metric operators and generalized hermiticity
Jean-Pierre Antoine, Camillo Trapani
Motivated by the recent developments of pseudo-hermitian quantum mechanics, we analyze the structure of unbounded metric operators in a Hilbert space. It turns out that such operat…
A spatio-temporal Gaussian-Conical wavelet with high aperture selectivity for motion and speed analysis
Patrice Brault, Jean-Pierre Antoine
The construction of a spatio-temporal wavelet and its tuning to speed was first realized in the 90s on the Morlet wavelet by M. Duval-Destin \cite{Duval-Destin91a,Duval-Destin92}.…
Bounded elements in certain topological partial *-algebras
Jean-Pierre Antoine, Camillo Trapani, Francesco Tschinke
We continue our study of topological partial *algebras, focusing our attention to the interplay between the various partial multiplications. The special case of partial *-algebras…
Frames, semi-frames, and Hilbert scales
J-P. Antoine, P. Balazs
Given a total sequence in a Hilbert space, we speak of an upper (resp. lower) semi-frame if only the upper (resp. lower) frame bound is valid. Equivalently, for an upper semi-frame…