Results 181 to 190 of about 3,554 (232)

Certified randomness using a trapped-ion quantum processor. [PDF]

open access: yesNature
Liu M   +31 more
europepmc   +1 more source

Eigenvalue estimates for Fourier concentration operators on two domains. [PDF]

open access: yesArch Ration Mech Anal
Marceca F, Romero JL, Speckbacher M.
europepmc   +1 more source

A NOTE ON TOEPLITZ OPERATORS

International Journal of Mathematics, 1996
We study Toeplitz operators on Bergman spaces using techniques from the analysis of Dirac-type operators on complete Riemannian manifolds, and prove an index theorem of Boutet de Monvel from this point of view. Our approach is similar to that of Baum and Douglas [2], but we replace boundary value theory for the Dolbeaut operator with much simpler ...
Guentner, Erik, Higson, Nigel
openaire   +1 more source

Toeplitz Operators on Dirichlet Spaces

Acta Mathematica Sinica, English Series, 2001
Let \(B_n\) be the unit ball in \(\mathbb{C}^n\) and \(\mathcal{D}\) the Dirichlet space, that is, the subspace of analytic functions in the Sobolev space with the norm \[ \left[\sum_{i=1}^n\int_{B_n}\left(\left|\frac{\partial f}{\partial z_i}(z)^2+ \frac{\partial f}{\partial \overline{z_i}}(z)^2 \right|\right) dv\right]^\frac{1}{2}.
Lu, Yu Feng, Sun, Shun Hua
openaire   +3 more sources

Complex Symmetric Toeplitz Operators

Integral Equations and Operator Theory, 2021
The paper is devoted to study the complex symmetry for Toeplitz operators, with certain trigonometric symbols, over the Hardy space \(H^2\) of the unit circle \(\mathbb{T}\). A~bounded operator \(T\) on a Hilbert complex space is said to be complex symmetric (respectively, canonically symmetric) operator if there is a conjugation (respectively ...
Qinggang Bu, Yong Chen, Sen Zhu
openaire   +1 more source

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