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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 3, Pages 84–88
DOI: https://doi.org/10.4213/faa2869 (Mi faa2869) 		 
This article is cited in 1 scientific paper (total in 2 paper)

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One-Dimensional Schrödinger Operator on the Half-Line: the Differential Equation for Eigenfunctions with Respect to the Spectral Parameter and an Analog of the Freud Equation

V. S. Buslaev, V. Yu. Strazdin

Saint-Petersburg State University
Full-text PDF (134 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa2869
Abstract: It is shown that the eigenfunctions of the Schrödinger operator on the half-line satisfy an explicitly constructed differential equation with respect to the spectral parameter. Such an equation was earlier obtained for orthogonal polynomials. An analog of the Freud equation is found.
Keywords: one-dimensional Schrödinger equation, Freud equation, eigenfunctions of the Schrödinger equation, spectral function.
Received: 05.02.2007
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 3, Pages 237–240
DOI: https://doi.org/10.1007/s10688-007-0020-0
Bibliographic databases:
Document Type: Article
UDC: 517.927, 517.984
Language: Russian
Citation: V. S. Buslaev, V. Yu. Strazdin, “One-Dimensional Schrödinger Operator on the Half-Line: the Differential Equation for Eigenfunctions with Respect to the Spectral Parameter and an Analog of the Freud Equation”, Funktsional. Anal. i Prilozhen., 41:3 (2007), 84–88; Funct. Anal. Appl., 41:3 (2007), 237–240
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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