4 citations · 10 across the 4 of their papers we have counts for
4 papers
Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups
Ingrid Beltita, Daniel Beltita
We present some recent results on smooth vectors for unitary irreducible representations of nilpotent Lie groups. Applications to the Weyl-Pedersen calculus of pseudo-differential…
Modulation spaces of symbols for representations of nilpotent Lie groups
Ingrid Beltita, Daniel Beltita
We investigate continuity properties of operators obtained as values of the Weyl correspondence constructed by N.V. Pedersen (Invent. Math. 118 (1994), 1--36) for arbitrary irreduc…
Analysis of the quadratic term in the backscattering transformation
Ingrid Beltita, Anders Melin
The quadratic term in the Taylor expansion at the origin of the backscattering transformation in odd dimensions gives rise to a symmetric bilinear operator on $C_0^\…
Local smoothing for the backscattering transform
Ingrid Beltita, Anders Melin
An analysis of the backscattering data for the Schrödinger operator in odd dimensions motivates the introduction of the backscattering transform $B: C_0^\infty ({\mathbb R…