16 citations · 99 across the 59 of their papers we have counts for
4 papers · 1 filter
Boundedness for Pseudo-Differential Calculus on Nilpotent Lie Groups
Ingrid Beltita, Daniel Beltita, Mihai Pascu
We survey a few results on the boundedness of operators arising from the Weyl-Pedersen calculus associated with irreducible representations of nilpotent Lie groups.
Linear connections for reproducing kernels on vector bundles
Daniel Beltita, José E. Galé
We construct a canonical correspondence from a wide class of reproducing kernels on infinite-dimensional Hermitian vector bundles to linear connections on these bundles. The linear…
Symbol calculus of square-integrable operator-valued maps
I. Beltita, D. Beltita, M. Mantoiu
We develop an abstract framework for the investigation of quantization and dequantization procedures based on orthogonality relations that do not necessarily involve group represen…
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…