Results 111 to 120 of about 20,082 (312)
SNR-enhanced diffusion MRI with structure-preserving low-rank denoising in reproducing kernel Hilbert spaces. [PDF]
Magn Reson Med, 2021 Ramos-Llordén G +5 more
europepmc +1 more source
Reverses of the triangle inequality in Banach spaces
, 2005 Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained.
Dragomir, Sever S
core
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
Some Grüss Type Inequalities for Vector-Valued Functions in Banach Spaces and Applications
, 2005 Some Grüss type inequalities for the Bochner integral of vectorvalued functions in real or complex Banach spaces are given. Applications in connection to the Heisenberg inequality for functions with values in Hilbert spaces are also pointed ...
Cerone, Pietro +3 more
core
Loop Quantum Photonic Chip for Coherent Multi‐Time‐Step Evolution
Laser &Photonics Reviews, EarlyView.A loop quantum photonic chip (Loop‐QPC) enabling efficient multi‐step quantum simulation in a single run is demonstrated. Combining recirculating loops with cycle‐or‐measure control, Loop‐QPC eliminates repeated reprogramming and reduces loss. Experimental demonstration of three‐step unitary evolution confirms high‐fidelity operation, showcasing the ...
Yuancheng Zhan +9 more
wiley +1 more source
Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source
Generalized multidimensional Hilbert transforms in Clifford analysis
International Journal of Mathematics and Mathematical Sciences, 2006 Two specific generalizations of the multidimensional Hilbert transform in Clifford analysis are constructed. It is shown that though in each of these generalizations some traditional properties of the Hilbert transform are inevitably lost, new bounded ...
Fred Brackx +2 more
doaj +1 more source
Definable Operators on Hilbert Spaces
Notre Dame Journal of Formal Logic, 2012 Let H be an infinite-dimensional (real or complex) Hilbert space, viewed as a metric structure in its natural signature. We characterize the definable linear operators on H as exactly the "scalar plus compact" operators.
openaire +4 more sources
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Representing functional data in reproducing Kernel Hilbert Spaces with applications to clustering and classification [PDF]
Functional data are difficult to manage for many traditional statistical techniques given their very high (or intrinsically infinite) dimensionality. The reason is that functional data are essentially functions and most algorithms are designed to work ...
Alberto Muñoz, Javier González
core