Výsledky vyhledávání - (Generalized) eigenfunction expansions of linear operators

The Generalized Operator Based Prony Method Autor Stampfer, Kilian, Plonka, Gerlind

“…The generalized Prony method is a reconstruction technique for a large variety of sparse signal models that can be represented as sparse expansions into eigenfunctions of a linear operator…”
Získat plný text

Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry Autor Mezić, Igor

“… Using the Kato decomposition, we develop a spectral expansion for general linear autonomous dynamical systems with analytic observables and define the notion of generalized eigenfunctions…”
Získat plný text

On Eigenfunction Expansion of Solutions to the Hamilton Equations Autor Komech, A., Kopylova, E.

“… Our main result is an application to the eigenfunction expansion for the linearized relativistic Ginzburg–Landau equation…”
Získat plný text

Time-dependent linear water-wave scattering in two dimensions by a generalized eigenfunction expansion Autor MEYLAN, MICHAEL H.

“… We show how the problem with arbitrary initial conditions can be found from the single-frequency solutions using a generalized eigenfunction expansion, required because the operator has a continuous spectrum…”
Získat plný text

Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics Autor Roach, G. F, Stratis, Ioannis G, Yannacopoulos, Athanassios N

“…Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature…”
Získat plný text

On Titchmarsh–Weyl Functions and Eigenfunction Expansions of First-Order Symmetric Systems Autor Albeverio, Sergio, Malamud, Mark, Mogilevskii, Vadim

“…We study general (not necessarily Hamiltonian) first-order symmetric system J y ′( t )− B ( t ) y ( t ) = Δ( t ) f ( t ) on an interval I = [ a , b ) with the…”
Získat plný text

A GENERAL SPECTRAL APPROACH TO THE TIME-DOMAIN EVOLUTION OF LINEAR WATER WAVES IMPACTING ON A VERTICAL ELASTIC PLATE Autor PETER, MALTE A., MEYLAN, MICHAEL H.

“… The problem is solved using a generalized eigenfunction expansion from the solutions for single frequencies, and we begin with a novel solution of the single-frequency problem…”
Získat plný text

On characteristic matrices and eigenfunction expansions of two singular point symmetric systems Autor Mogilevskii, Vadim

“… We prove the Titchmarsh type formula for the characteristic matrix Ω(λ) of the self‐adjoint linear relation in LΔ2…”
Získat plný text

Eigenfunction expansions in L 2 spaces for boundary value problems on time-scales Autor Davidson, Fordyce A., Rynne, Bryan P.

“…Let T ⊂ R be a bounded time-scale, with a = inf T , b = sup T . We consider the weighted, linear, eigenvalue problem − ( p u Δ ) Δ ( t ) + q ( t ) u σ ( t ) = λ…”
Získat plný text

Theory of Characteristic Modes for Nonsymmetric Surface Integral Operators Autor Yla-Oijala, Pasi, Wallen, Henrik

“…) operators, the eigenvectors are not orthogonal with respect to the weighted inner product defined with the weighting operator of the generalized eigenvalue equation…”
Získat plný text

The principle of general localization on unit sphere Autor Ahmedov, Anvarjon

“… . The properties Jacobi polynomials are used in estimating the maximal operators of spectral expansions in L 2 ( S N…”
Získat plný text

Eigenvalue Expansion of Nonsymmetric Linear Compact Operators in Hilbert Space Autor KOHAUPT, Ludwig

“…For a symmetric linear compact resp. symmetric densely defined linear operator with compact inverse, expansion theorems in series of eigenvectors are known…”
Získat plný text

Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential Sums Autor Keller, Ingeborg, Plonka, Gerlind

“…In this survey we describe some modifications of Prony's method. In particular, we consider the recovery of general expansions into eigenfunctions of linear…”
Získat plný text

Analysis of the method of generalized separation of variables in the problem of light scattering by small axisymmetric particles Autor Farafonov, V. G., Ustimov, V. I.

“… of variables method (GSVM). In this case, electric-field strengths are gradients of scalar potentials, which are represented as expansions in term of eigenfunctions of the Laplace operator in the spherical coordinate system…”
Získat plný text

Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties Autor Yanovski, A. B., Valchev, T. I.

“… Using the concept of gauge equivalence, we construct expansions over the eigenfunctions of recursion operators…”
Získat plný text

The Generalized Operator Based Prony Method Autor Stampfer, Kilian, Plonka, Gerlind

“…The generalized Prony method introduced by Peter & Plonka (2013) is a reconstruction technique for a large variety of sparse signal models that can be represented as sparse expansions into eigenfunctions of a linear operator…”
Získat plný text

On relaxation processes in a completely ionized plasma Autor Alexander I. Sokolovsky, Sergey A. Sokolovsky, Oleh A. Hrinishyn

“… The plasma is considered in a generalized Lorentz model which contrary to standard one assumes that ions form an equilibrium system…”
Získat plný text

Limiting Absorption Principles and Linear Inviscid Damping in the Euler–Boussinesq System in the Periodic Channel Autor Coti Zelati, Michele, Nualart, Marc

“… of the generalized eigenfunction near the critical layer. As a by-product of our analysis, we provide a precise description of the spectrum of the linearized operator, which, for sufficiently large Richardson number, consists of an essential spectrum (as expected according to classical hydrodynamic problems) as well as discrete neutral eigenvalues (giving rise to oscillatory modes) accumulating towards the endpoints of the essential spectrum…”
Získat plný text

Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State Space Geometry Autor Mezic, Igor

“… Using the Kato Decomposition we develop a spectral expansion for general linear autonomous dynamical systems with analytic observables, and define the notion of generalized eigenfunctions…”
Získat plný text

EIGENFUNCTION EXPANSIONS FOR PROBLEMS IN ELASTODYNAMICS (LINEAR) Autor HERCZYNSKI, ANDRZEJ

“… (Pochhammer-Chree modes). The orthogonality condition is obtained from the consideration of the generalized Wronskian, involving the eigenfunctions of the original and the dual space…”
Získat plný text