Titlebook: Spectral Theory and Wave Processes; M. Sh. Birman Book 1971 Springer Science+Business Media New York 1971 Potential.scattering.spectra.wav

groggy

A Criterion for the Existence of the Complete Wave Operators in the Theory of Scattering with Two Sy continuous operators. I., I denote the identity operators in K. and K respectively. The symbol s-lim denotes the strong operator limit. If A is a densely defined operator, then D(A) denotes its domain and A* the adjoint operator. We denote by Z the real (spectral) axis.

Ingest

The Inverse Problem for the Wave Equation with an Unknown Source,nal sent out by the wave source (for example, an explosion or an earthquake) is completely known. Therefore, in formulating the problem we will assume that only certain properties of the function describing the source are known. The problem considered below is a model from the point of view of seismology.

胆小懦夫

,Perturbation of the Spectrum of the one-Dimensional Self-Adjoint Schrödinger Operator with a Periodble sequence of segments of the real axis separated by lacunae and going out to + ∞. When this operator is perturbed by a real potential q(x) which vanishes at infinity, it is possible that eigenvalues will appear in the lacunae of the continuous spectrum and also to the left of the lower bound of the operator. The following facts are known.

allude

A Uniqueness Theorem for Functions with Positive Imaginary Part,the following problem of function theory arises: describe the set of all roots of a function . which is represented in terms of a Cauchy-type integral with positive density which satisfies a certain smoothness condition: ..

神圣在玷污

损坏

Commonplace

黑豹

https://doi.org/10.1007/978-1-4684-8926-2Potential; scattering; spectra; wave; wave equation

新娘

,Transition of the Quasi-Levels in the Discrete Spectrum of the Schrödinger Operator Under Strong PeThis paper treats a perturbation of the discrete spectrum of the self-adjoint Schrödinger operator on the semiaxis (or on the axis) which has a positive potential with a finite or infinite limit at infinity. The perturbation of the operator consists in a cutoff of the potential to zero in some neighborhood of infinity.

mortgage

On the Various Formulations of the One-Dimensional Inverse Problem for the Telegraph Equation,In this note we establish the equivalence of two formulations of the inverse problem on finding the unknown coefficient q(z) in the telegraph equation . if it is known that u(x, y, z, t) is a solution of equation (1) satisfying the conditions .. Suppose that for z = 0 u is the function . (x, y, t) . certain properties of which are given.