CR embeddings of CR manifolds

Autor: Cowling, M. G., Ganji, M., Ottazzi, A., Schmalz, G.

We improve results of Baouendi, Rothschild and Treves and of Hill and Nacinovich by finding a much weaker sufficient condition for a CR manifold of type $(n,k)$ to admit a local CR embedding into a CR manifold of type $(n+\ell,k-\ell)$. While their r

Externí odkaz: http://arxiv.org/abs/2204.01174

Operator Lipschitz estimates in the unitary setting

Autor: Ayre, P. J., Cowling, M. G., Sukochev, F. A.

Publikováno v: Proceedings of the American Mathematical Society, 2016 Mar 01. 144(3), 1053-1057.

Externí odkaz: https://www.jstor.org/stable/procamermathsoci.144.3.1053

Uniformly bounded representations of SL(2,R)

Autor: Astengo F., Cowling M. G., Di Blasio B.

We compute the “norm” of irreducible uniformly bounded representations of SL(2,R). We show that the Kunze–Stein version of the uniformly bounded representations has minimal norm in its similarity class of uniformly bounded representations.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1299::26763b2075cf14fafe8e6a5892a75141
http://hdl.handle.net/10281/301868

Vector-valued distributions and Hardy's uncertainty principle for operators

Autor: Cowling , M. G., Demange , B., Sundari , M.

Publikováno v: Rev. Mat. Iberoamericana 26, no. 1 (2010), 133-146

Suppose that $f$ is a function on $\mathbb{R}^n$ such that $\exp(a |\cdot|^2) f$ and $\exp(b |\cdot|^2) \hat f$ are bounded, where $a,b > 0$. Hardy's Uncertainty Principle asserts that if $ab > \pi^2$, then $f = 0$, while if $ab = \pi^2$, then $f = c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=project_eucl::6faa379f61859d8ac3239a9e44d6a7aa
http://projecteuclid.org/euclid.rmi/1266330120

A note on Martingales with respect to Complex Measures

Autor: Cowling, M. G., Gaudry, G. I., Qian, T.

Publikováno v: Miniconference on Operators in Analysis. Ian Doust, Brian Jefferies, Chun Li, and Alan McIntosh, eds. Proceedings of the Centre for Mathematical Analysis, v. 24. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1990)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=project_eucl::0334ba11e2543058b6f641d73c7b89c2
https://projecteuclid.org/euclid.pcma/1416335056