The Gelfand-Levitan and Marčenko equations via transmutation
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Publication:1172761
DOI10.1216/RMJ-1982-12-3-393zbMath0502.35076OpenAlexW1985102443MaRDI QIDQ1172761
Publication date: 1982
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmj-1982-12-3-393
Gelfand-Levitan equationMarchenko equationtransmutationformulas of Riemann-Liouville and Weylinverse quantum scattering theory
Quantum scattering theory (81U99) Partial differential equations of mathematical physics and other areas of application (35Q99) Ordinary differential operators (34L99)
Related Items (6)
Patterns and structure in systems governed by linear second-order differential equations ⋮ Fourier type analysis and the marcenko equation ⋮ Some Remarks on a Canonical Marcenko Equation ⋮ Some features of the maps from potential to spectral data ⋮ Partial differential equation techniques in transmutation ⋮ Some remarks on the generalized Gelfand-Levitan equation
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