Ensemble density functional theoryrange separationlinear interpolation methodghost interactionThe combination of a recently proposed linear interpolation method (LIM) [Senjean et al., Phys. Rev. A 92, 012518 (2015)], which enables the calculation of weight-independent excitation energies in range-...
Additionally, applications to linear interpolation and operator approximation theory are presented in many settings related to various families of polynomials.\n* Presents a novel approach to umbral calculus based on linear algebra\n* Covers connections with interpolation and approximation theory\n* Of ...
Complex analysis Funktionenraum Linearer Operator Meromorphic function analytic function bounded mean oscillation calculus function space operator theory Search within this book Search Table of contents (14 chapters) Front Matter Pages I-XVIII Download chapter PDF Analysis in functional space...
Interpolation, bases, multipliers N. K. Nikolski Pages 259-294 Entire and subharmonic functions. A. A. Goldberg, B. Ya. Levin, I. V. Ostrovskii Pages 295-338 ℂn L. A. Aizenberg Pages 339-382 Geometric function theory P. Duren Pages 383-422 Holomorphic dynamics B....
Indeed, under the assumption of bounded imaginary powers of a positive operator A on a Banach space X, the domains of fractional powers of A are given by the complex interpolation as well: let 0 ≤α < β < ∞, θ∈ (0, 1) then [D(Aα), D(Aβ)]θ = D(A(1−θ)α+θβ...
Linear interpolation is a method used in data analysis to estimate values between known data points. It assumes a linear relationship between the points and uses straight lines to approximate the missing values. By calculating the slope and intercept between adjacent data points, you can interpolate...
摘要: The survey is devoted to the modern state of the theory of interpolation of linear operators acting in Banach spaces. Principal attention is devoted to real and complex methods and applications of the theory of interpolation to analysis....
The latter was motivated by the facts that (1) from a mechanistic perspective, an important property of brain networks and other large-scale complex networks is their sparsity; and (2) from a machine learning perspective, regularization and reducing the number of free parameters in a model can...
μ-sensitivity approach is basically motivated from robust stability analysis and robust controller design from robust control theory [33]. The concepts of Linear Fractional Transformation (LFT), structured singular value μ, skewed-structured singular value ν, and μ-sensitivity are some of the impor...
The use of the notion of Hankel operators (Adamjan et al., 1971, Glover, 1984, Safonov et al., 1990) and the theory of balanced realizations (Gray and Mesko, 1997, Lall and Beck, 2003, Meyer, 1990, Moore, 1981) belong to the first group, whereas the use of interpolation theory ...