Results 21 to 30 of about 552 (33)

Unitary discrete Hilbert transforms

open access: yes, 2010
Weighted discrete Hilbert transforms $(a_n)_n \mapsto \big(\sum_n a_n v_n/(\lambda_j-\gamma_n)\big)_j$ from $\ell^2_v$ to $\ell^2_w$ are considered, where $\Gamma=(\gamma_n)$ and $\Lambda=(\lambda_j)$ are disjoint sequences of points in the complex plane
Belov, Yurii   +2 more
core   +1 more source

Boundary behavior of functions in the de Branges--Rovnyak spaces

open access: yes, 2008
This paper deals with the boundary behavior of functions in the de Branges--Rovnyak spaces. First, we give a criterion for the existence of radial limits for the derivatives of functions in the de Branges--Rovnyak spaces.
Fricain, Emmanuel, Mashreghi, Javad
core   +3 more sources

The Defect Sequence for Contractive Tuples

open access: yes, 2012
We introduce the defect sequence for a contractive tuple of Hilbert space operators and investigate its properties. The defect sequence is a sequence of numbers, called defect dimensions associated with a contractive tuple.
Bhattacharyya, Tirthankar   +2 more
core   +1 more source

Summability properties of Gabor expansions

open access: yes, 2018
We show that there exist complete and minimal systems of time-frequency shifts of Gaussians in $L^2(\mathbb{R})$ which are not strong Markushevich basis (do not admit the spectral synthesis).
Baranov, Anton   +2 more
core   +3 more sources

Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk [PDF]

open access: yes, 2015
We give general estimates for the approximation numbers of composition operators on the Hardy space on the ball $B\_d$ and the polydisk $D^d$
Li, Daniel   +2 more
core   +2 more sources

On the range of composition operators on spaces of entire functions

open access: yes, 2011
The celebrated Paley-Wiener theorem naturally identifies the spaces of bandlimited functions with subspaces of entire functions of exponential type. Recently, it has been shown that these spaces remain invariant only under composition with affine maps ...
Jafari, F.   +2 more
core   +1 more source

Canonical, squeezed and fermionic coherent states in a right quaternionic Hilbert space with a left multiplication on it

open access: yes, 2017
Using a left multiplication defined on a right quaternionic Hilbert space, we shall demonstrate that various classes of coherent states such as the canonical coherent states, pure squeezed states, fermionic coherent states can be defined with all the ...
B Muraleetharan   +19 more
core   +1 more source

Recent kernel methods for interacting particle systems: first numerical results

open access: yesEuropean Journal of Applied Mathematics
Interacting particle systems (IPSs) are a very important class of dynamical systems, arising in different domains like biology, physics, sociology and engineering. In many applications, these systems can be very large, making their simulation and control,
Christian Fiedler   +3 more
doaj   +1 more source

Discrete frames on finite dimensional quaternion Hilbert spaces

open access: yes, 2017
An introductory theory of frames on finite dimensional quaternion Hilbert spaces is demonstrated along the lines of their complex counterpart.Comment: 15 ...
Khokulan, M.   +2 more
core   +2 more sources

Toeplitz operators on Bergman spaces of polyanalytic functions

open access: yes, 2010
We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols.
Cuckovic, Zeljko, Le, Trieu
core   +1 more source

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