4 papers
Reproducing pairs of measurable functions and partial inner product spaces
Jean-Pierre Antoine, Camillo Trapani
We continue the analysis of reproducing pairs of weakly measurable functions, which generalize continuous frames. More precisely, we examine the case where the defining measurable…
Metric operators, generalized hermiticity and lattices of Hilbert lpaces
Jean-Pierre Antoine, Camillo Trapani
A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric operator, i.e., a strictly positive self-adjoint operator. Whereas those metric…
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…