601,775 Result(s)

Book

Book Series
Applied Mathematical Sciences
手机体育投注平台Volume 1 / 1971 to Volume 204 / 2020

Chapter
The Matrix Schrödinger Equation and the Characterization of the Scattering Data
手机体育投注平台 In this chapter we describe the basic ingredients of the direct and inverse scattering problems for the matrix Schrödinger equation on the half line with the general selfadjoint boundary condition. We show ho...

Chapter
Direct Scattering II
手机体育投注平台 In this chapter the scattering process is described physically and mathematically, and the definition of the scattering operator is provided in terms of the wave operators introduced by Møller. The role of the...

Chapter
Some Explicit Examples
手机体育投注平台 In this chapter we illustrate the theory presented earlier via explicitly solved examples. It is shown how the Marchenko integral equation can yield explicitly solved examples when its kernel contains a matrix...

手机体育投注平台 Chapter
Introduction
In this introductory chapter the goals of the monograph are described, the contents of the remaining chapters and Appendix A are outlined, and the relevant general refer...

手机体育投注平台 Chapter
Direct Scattering I
手机体育投注平台 In this chapter we present the solution to the direct scattering problem for the halfline matrix Schrödinger equation using an input data set consisting of a matrix potential and a selfadjoint boundary condi...

手机体育投注平台 Chapter
Inverse Scattering
In this chapter we analyze the inverse scattering problem of recovery of the corresponding input data set D in the Faddeev class from a scattering data set S in the Marchenko class. We discuss the nonuniqueness a...

Journal
manuscripta mathematica
Volume 1 / 1969  Volume 163 / 2020

Article
Approximation tools and decay rates for eigenvalues of integral operators on a general setting
We provide the characterization of the Peetretype Kfunctional on a compact twopoint homogeneous space in terms of the rate of approximation of a family of multipliers operators. This extends the well known res...

手机体育投注平台 Article
Complexity Yardsticks for fVectors of Polytopes and Spheres
We consider geometric and computational measures of complexity for sets of integer vectors, asking for a qualitative difference between fvectors of simplicial and general dpolytopes, as well as flag fvectors o...

Article
Mathématiques et architecture: le tracé de l’entasis par NicolasFrançois Blondel
Dans la Résolution des quatre principaux problèmes d’architecture (1673) puis le Cours手机体育投注平台 (1683), NicolasFrançois Blondel aborde en architectemathématicien l’un des plus célèbres problèmes d’architecture de tous l...

手机体育投注平台 Article
Approximation of the continuous functions on \(l_{p}\) spaces with p an even natural number
Let p be an even natural number, \(K\subset l_{p}\) K ⊂ l p a compact nonempty set and \(L_{n}:C\left( K\right) \rightarrow C\left( K\right) \) L n : C K → C K a sequence of positive linear op...

手机体育投注平台 Article
Sprime ideals of a commutative ring
Let R be a commutative ring with identity and \(S\subseteq R\) S ⊆ R a multiplicative subset. In this paper we introduce the concept of Sprime ideal which is a generalization of prime ideal. Let P be an i...

手机体育投注平台 Article
Open AccessOn Polyatomic Tomography over Abelian Groups: Some Remarks on Consistency, Tree Packings and Complexity
The paper deals with an inverse problem of reconstructing matrices from their marginal sums. More precisely, we are interested in the existence of \(r\times s\) r × s matrices for which only the following i...

Article
Correction to: C*algebras, H*algebras and trace ideals of pseudodifferential operators on locally compact, Hausdorff and abelian groups
Let G手机体育投注平台 be a locally compact, Hausdorff and abelian group.

手机体育投注平台 Article
The multiset partitions and the generalized Stirling numbers
By counting on the multiset partitions, we give in this paper a combinatorial interpretation of a class of the generalized Stirling numbers generalizing the Stirling, rStirling, Jacobi–Stirling, rJacobi–Stirlin...

手机体育投注平台 Article
Measuring Inconsistency in Generalized Propositional Logic
手机体育投注平台 Consistency is one of the key concepts of logic; logicians have put a great deal of effort into proving the consistency of many logics. Understanding what causes inconsistency is also important; some logicians...

Article
Open AccessRobust Euclidean embedding via EDM optimization
This paper aims to propose an efficient numerical method for the most challenging problem known as the robust Euclidean embedding (REE) in the family of multidimensional scaling (MDS). The problem is notoriou...

Article
Robust optimal control problem with multiple characteristic time points in the objective for a batch nonlinear timevarying process using parallel global optimization
In this paper, we consider a nonlinear timevarying dynamical (NTVD) system with uncertain system parameters assigned to their nominal values in batch culture of glycerol bioconversion to 1,3propanediol induc...