Transmutation Operators and Their Applications
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Publication:3296642
DOI10.1007/978-3-030-35914-0_2zbMath1501.47078OpenAlexW3015409442MaRDI QIDQ3296642
Publication date: 1 July 2020
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-35914-0_2
Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Cites Work
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- Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- Applied inverse problems. Lectures presented at the RCP 264 in Montpellier Etude interdisciplinaire des problemes inverses, sponsored by the Centre National de la Recherche Scientifique
- On the inverse spectral problem for the string equation
- Inverse spectral problem for the Laguerre differential operator
- A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator
- Irregular sampling and the inverse spectral problem
- On the growth of the spectral measure
- Direct and inverse spectral problems for generalized strings
- Higher approximation of eigenvalues by the sampling method
- Computing eigenvalues of the string by sampling
- A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations
- Sampling with a string.
- Sampling for the fourth-order Sturm--Liouville differential operator
- On solvability of inverse Sturm-Liouville problem
- On the Lieb-Thirring constants \(L_{\gamma, 1}\) for \(\gamma \geq 1/2\)
- A rigorous verification of a numerically computed eigenvalue
- Interpolation and transmutation
- The Gelfand-Levitan theory revisited
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- The interpolation of the Titchmarsh-Weyl function
- Sampling and Eigenvalues of Non-Self-Adjoint Sturm--Liouville Problems
- Transmutation of orthogonal polynomials
- On the determination of a differential equation from its spectral function
- A Comparison Theorem for Selfadjoint Operators
- The approximation of the transmutation kernel
- A trace formula and Schmincke inequality on the half-line
- On Schrödinger's factorization method for Sturm-Liouville operators
- Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem
- Computing eigenvalues of Sturm-Liouville systems of Bessel type
- SPECTRAL PROPERTIES OF THE OPERATOR EQUATION AX + XB = Y
- How and Why to Solve the Operator Equation AX −XB = Y
- The sampling method for sturm-liouville problems with the eigenvalue parameter in the boundary condition.
- The transmutation operator for −d2/(w(x) dx2)
- Existence and construction of the transmutation operator
- Transmutation of operators with disjoint spectra
- Construction of a transformation operator
- Direct Computation of the Spectral Function
- Toward a general theory of transmutation
- Some questions in the theory of one-dimensional linear differential operators of the second order. I
- Eigenvalues of s-l systems using sampling theory
- Sampling Eigenvalues in Hardy Spaces
- The Operator Equation BX - XA = Q with Selfadjoint A and B
- The existence of spectral functions of generalized second-order differential systems with a boundary condition at the singular end
- Paley-Wiener type theorems by transmutations
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