Some Recent Developments in the Transmutation Operator Approach
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Publication:3296641
DOI10.1007/978-3-030-35914-0_1zbMath1501.47080OpenAlexW3015362778MaRDI QIDQ3296641
Vladislav V. Kravchenko, Sergeĭ Mikhaĭlovich Sitnik
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_1
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)
Related Items (3)
Metamorphism -- an integral transform reducing the order of a differential equation ⋮ Metamorphism as a covariant transform for the SSR group ⋮ Runge property and approximation by complete systems of solutions for strongly elliptic equations
Cites Work
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- Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
- Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane
- Transmutations d'opérateurs différentiels dans le domaine complexe
- The method of transformation operators in the inverse scattering problem. The one-dimensional Stark effect
- Expansion in series of Bessel functions and transmutations for perturbed Bessel operators
- Estimates of the Jost solution to a one-dimensional Schrödinger equation with a singular potential
- On a series representation for integral kernels of transmutation operators for perturbed Bessel equations
- Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions
- A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations
- Analytic approximation of solutions of parabolic partial differential equations with variable coefficients
- Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations
- Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation
- On a method for solving the inverse Sturm-Liouville problem
- Transformation operators for perturbed harmonic oscillators
- Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations
- Solution of boundary and eigenvalue problems for second-order elliptic operators in the plane using pseudoanalytic formal powers
- Construction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane
- The approximation of the transmutation kernel
- Eigenvalue problems, spectral parameter power series, and modern applications
- Applied Pseudoanalytic Function Theory
- Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations
- A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations
- On a method for solving the inverse scattering problem on the line
- A representation for Jost solutions and an efficient method for solving the spectral problem on the half line
- Spectral parameter power series for Sturm–Liouville problems
- The transmutation operator method for efficient solution of the inverse Sturm‐Liouville problem on a half‐line
- Solution of parabolic free boundary problems using transmuted heat polynomials
- PRICING DOUBLE BARRIER OPTIONS ON HOMOGENEOUS DIFFUSIONS: A NEUMANN SERIES OF BESSEL FUNCTIONS REPRESENTATION
- The general form of the Euler--Poisson--Darboux equation and application of transmutation method
- Integral Operators in the Theory of Linear Partial Differential Equations
- Théoreme de Paley-Wiener associe à un opérateur différentiel singulier sur \((0,+\infty)\)
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