Research

Some papers on representation theory of nilpotent Lie groups

I. Beltita, D. Beltita, J. Ludwig, Fourier transforms of C*-algebras of nilpotent Lie groups. Preprint arXiv:1411.3254 [math.OA].

I. Beltita, D. Beltita, On Kirillov's lemma for nilpotent Lie algebras. Journal of Algebra (to appear; see http://dx.doi.org/10.1016/j.jalgebra.2014.12.026).
I. Beltita, D. Beltita, Boundedness for Weyl-Pedersen calculus on flat coadjoint orbits. International Mathematics Research Notices (to appear; see http://dx.doi.org/10.1093/imrn/rnt225).
- I. Beltita, D. Beltita, Algebras of symbols associated with the Weyl calculus for Lie group representations. Monatshefte fur Mathematik 167 (2012), no. 1, 13--33.
I. Beltita, D. Beltita, Modulation spaces of symbols for representations of nilpotent Lie groups. Journal of Fourier Analysis and Applications 17 (2011), no. 2, 290--319.
- I. Beltita, D. Beltita, Continuity of magnetic Weyl calculus. Journal of Functional Analysis 260 (2011), no. 7, 1944--1968.
- I. Beltita, D. Beltita, Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups. Annals of the University of Bucharest (mathematical series) 1 (LIX) (2010), no. 1, 17--46.
- I. Beltita, D. Beltita, Uncertainty principles for magnetic structures on certain coadjoint orbits. Journal of Geometry and Physics 60 (2010), no. 1, 81--95.
- I. Beltita, D. Beltita, Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups. Annals of Global Analysis and Geometry 36 (2009), no. 3, 293--322.

Some papers on representation theory of unitary groups of operator algebras

D. Beltita, K.-H. Neeb, Nonlinear completely positive maps and dilation theory for real involutive algebras. Preprint arXiv:1411.6398 [math.OA].
D. Beltita, J.E. Galé, Linear connections for reproducing kernels on vector bundles. Mathematische Zeitschrift 277 (2014), no. 1-2, 29-62.
D. Beltita, K.-H. Neeb, Schur-Weyl Theory for C*-algebras. Mathematische Nachrichten 285 (2012), no. 10, 1170-1198.
D. Beltita, J.E. Galé, Universal objects in categories of reproducing kernels. Revista Matemática Iberoamericana 27 (2011), no. 1, 123-179.
D. Beltita, J.E. Galé, Holomorphic geometric models for representations of C*-algebras. Journal of Functional Analysis 255 (2008), no. 10, 2888-2932.
D. Beltita, B. Prunaru, Amenability, completely bounded projections, dynamical systems and smooth orbits. Integral Equations and Operator Theory 57 (2007), no. 1, 1-17.
D. Beltita, T.S. Ratiu, Geometric representation theory for unitary groups of operator algebras. Advances in Mathematics 208 (2007), no. 1, 299-317.

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