Results 111 to 120 of about 31,021 (266)
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
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
New Reverse Inequalities for Normal Operators in Hilbert Spaces
, 2005 In this paper, more reverse inequalities for the class of normal operators, are established. Some of the obtained results are based on recent reverse results for the Schwarz inequality in Hilbert spaces due to the ...
Dragomir, Sever S
core
Diffusion limits of the random walk Metropolis algorithm in high dimensions [PDF]
, 2012 Diffusion limits of MCMC methods in high dimensions provide a useful theoretical tool for studying computational complexity. In particular, they lead directly to precise estimates of the number of steps required to explore the target measure, in ...
Stuart, Andrew M. +9 more
core +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, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Upper Bounds for the Euclidean Operator Radius and Applications
, 2006 The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n−tuple of bounded linear operators on a Hilbert space.
Dragomir, Sever S
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
Hilbert space of wormholes in 1+1 dimensional gravitation theory
, 1999 In this paper, we study the complete quantization of the homogeneous isotropic closed universe and prove that 1+1 dimensional quantum wormholes can be invested with a Hilbert-space structure, the inner product being naturally induced by the mini ...
Shen, YG, Tan, ZQ
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source