Relationship Between Different Types of Inverse Data for the One-Dimensional Schrödinger Operator on a Half-Line


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Abstract

Inverse dynamic, spectral, quantum, and acoustic scattering problems for the Schrödinger operator on a half-line are considered. The goal of the paper is to establish the relationship between different types of inverse data for these problems. The central objects, which serve as a source for all formulas, are the kernels of the so-called connecting operators and the corresponding Krein equations.

About the authors

A. S. Mikhaylov

St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg State University

Author for correspondence.
Email: a.mikhaylov@spbu.ru
Russian Federation, St.Petersburg

V. S. Mikhaylov

St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg State University

Email: a.mikhaylov@spbu.ru
Russian Federation, St.Petersburg

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