Fourier type analysis and the marcenko equation
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Publication:3714405
DOI10.1080/00036818408839509zbMath0587.34007OpenAlexW2032881939MaRDI QIDQ3714405
Publication date: 1984
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036818408839509
Scattering theory for PDEs (35P25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inverse problems involving ordinary differential equations (34A55) Ordinary differential operators (34L99) General integral transforms (44A05)
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Cites Work
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- Transmutation theory for certain radial operators
- Some remarks on the generalized Gelfand-Levitan equation
- The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems
- Some remarks on transmutation, scattering theory, and special functions
- The Gelfand-Levitan and Marčenko equations via transmutation
- A new proof of a Paley-Wiener type theorem for the Jacobi transform
- Paley-Wiener type theorems for a differential operator connected with symmetric spaces
- Transmutation and linear stochastic estimation
- Impedance profile recovery from transmission data
- Un a iransform theory involving whittaker functions
- Transmutation via the momentum plane
- Gel’fand–Levitan equations with comparison measures and comparison potentials
- Scattering techniques for a one dimensional inverse problem in geophysics
- Research announcement
- On complete recovery of geophysical data
- A generalization of the Gel’fand–Levitan equation for the one-dimensional Schrödinger equation
- Inverse scattering on the line
- Generalized Translations Associated with a Differential Operator