Titlebook: Topics in Operator Theory; Volume 2: Systems an Joseph A. Ball,Vladimir Bolotnikov,J. William Helt Conference proceedings 2010 Birkhäuser B

grudging

,Fourier Method for One-dimensional Schrödinger Operators with Singular Periodic Potentials,By using quasi-derivatives, we develop a Fourier method for studying the spectral properties of one-dimensional Schrödinger operators with periodic singular potentials.

Phonophobia

Regularized Perturbation Determinants and KdV Conservation Laws for Irregular Initial Profiles,In the context of the Korteweg-de Vries equation we put forward some new conservation laws which hold for real initial profiles with low regularity. Some applications to spectral theory of the one-dimensional Schrödinger operator with singular potentials are also considered.

决定性

Joseph A. Ball,Vladimir Bolotnikov,J. William HeltCutting edge results.Authoritative reviews.Challenges and directions for future research.Includes supplementary material:

下船

Operator Theory: Advances and Applicationshttp://image.papertrans.cn/u/image/926261.jpg

额外的事

Graduated

The Gelfand-Levitan Theory for Strings, theory deals with Sturm-Liouville operators whose spectral functions behave like . or . only. The main tool here is the Gohberg-Krein special factorization of operators close to the identity, which gives a better insight on the existence of transformation operators of Volterra type.

含铁

,On the Uniqueness of a Solution to Anisotropic Maxwell’s Equations,×3 matrices. We formulate relevant boundary value problems, investigate a fundamental solution and find a Silver-Müller type radiation condition at infinity which ensures the uniqueness of solutions when permittivity and permeability matrices are real-valued, symmetric, positive definite and proportional ε = κμ, κ < 0.

排斥

FLING

Additive Invariants on Quantum Channels and Regularized Minimum Entropy, of its value is a positive lower bound for the regularized minimum entropy of an output quantum channel. We give a few examples in which one of these invariants is less than 1. We also study the special cases where the above both invariants are equal to 1.

发生

A Functional Model, Eigenvalues, and Finite Singular Critical Points for Indefinite Sturm-Liouville Operators, point. An abstract approach to the problem is given via a functional model for indefinite Sturm-Liouville operators. Algebraic multiplicities of eigenvalues are obtained. Also, operators with finite singular critical points are considered.