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math.FA2023
Smooth Fields of Hilbert Spaces, Hermitian bundles and Riemannian Direct Images
Fabian Belmonte, Harold Bustos
Given a field of Hilbert spaces there are two ways to endow it with a smooth structure: the standard and geometrical notion of Hilbert (or Hermitian) bundle and the analytical noti…
math.FA2021
Smooth Fields of Operators and Some Examples Coming from Canonical Quantization
F. Belmonte, H. Bustos, S. Cuéllar
We introduce a notion of smooth fields of operators following the notion of smooth fields of Hilbert spaces recently defined by L. Lempert and R. Szőoke arXiv:1004.4863(2) . Formal…
math.FA2016
Twisted Pseudo-differential Operators on Type I Locally Compact Groups
H. Bustos, M. Mantoiu
Let $\G$ be a locally compact group satisfying some technical requirements and $\wG$ its unitary dual. Using the theory of twisted crossed product -algebras, we develop a twis…