Description of the scattering data for Sturm-Liouville operators on the half-line

• Autorzy: Mykytyuk Yaroslav , Sushchyk Natalia

Identyfikatory

DOI

10.7494/OpMath.2019.39.4.557

• Języki publikacji: EN

Abstrakty

EN

We describe the set of the scattering data for self-adjoint Sturm-Liouville operators on the half-line with potentials belonging to [formula], where [formula] is a monotonically nondecreasing function from some family R. In particular, R includes the functions [formula]

Słowa kluczowe

EN

inverse scattering; Schroedinger operator; Banach algebra

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 4
• Strony: 557--576
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Mykytyuk Yaroslav

• Lviv National University 1 Universytets'ka Str., 79602 Lviv, Ukraine

autor

Sushchyk Natalia

• Lviv National University 1 Universytets'ka Str., 79602 Lviv, Ukraine

Bibliografia

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• [4] Ya. Mykytyuk, N. Sushchyk, Inverse scattering problems for half-line Schrodinger operators and Banach algebras, Opuscula Math. 38 (2018), 719-731.
• [5] W. Rudin, Functional Analysis, McGraw Hill, New York, 1973.
• [6] E.C. Titchmarsh, Introduction to the Theory of Fourier Integrals, 2nd ed., Oxford University Press, 1948.
• [7] N. Wiener, Tauberian theorems, Ann. of Math. 33 (1932), 1-100.
• [8] N. Wiener, Generalized Harmonic Analysis and Tauberian Theorems, MIT Press, Cambridge, MA/London, 1966.