12 citations · 53 across the 36 of their papers we have counts for
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Boundedness for Weyl-Pedersen calculus on flat coadjoint orbits
Ingrid Beltita, Daniel Beltita
We describe boundedness and compactness properties for the operators obtained by the Weyl-Pedersen calculus in the case of the irreducible unitary representations of nilpotent Lie…
Continuity of magnetic Weyl calculus
Ingrid Beltita, Daniel Beltita
We investigate continuity properties of the operators obtained by the magnetic Weyl calculus on nilpotent Lie groups, using modulation spaces associated with unitary representation…
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…