222 citations · 550 across the 18 of their papers we have counts for
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math-ph2012★ 20 cited
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…
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}.…
math-ph2012
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…