On the order of growth of generalized eigenfunctions of the Sturm-Liouville operator. The Shnol' theorem

DOI10.1007/BF02675789zbMath1056.34526OpenAlexW2070181734WikidataQ126211128 ScholiaQ126211128MaRDI QIDQ1581456

Sergey A. Denisov

Publication date: 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02675789

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Cites Work

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• The absolute continuous spectrum of one-dimensional Schrödinger operators with decaying potentials
• Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
• On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
• Behavior of generalized eigenfunctions at infinity and the Schrödinger conjecture
• The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials
• Schrödinger semigroups
• Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results

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