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math-ph2014
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…
math-ph2012
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}.…