Results 21 to 30 of about 552 (33)
Unitary discrete Hilbert transforms
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
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Boundary behavior of functions in the de Branges--Rovnyak spaces
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
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The Defect Sequence for Contractive Tuples
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
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Summability properties of Gabor expansions
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
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Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk [PDF]
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
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On the range of composition operators on spaces of entire functions
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
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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
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Recent kernel methods for interacting particle systems: first numerical results
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
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
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Toeplitz operators on Bergman spaces of polyanalytic functions
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
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