Factorization of the Green's operator in the Dirichlet problem for \((-1)^m(d/dt)^{2m}\)
DOI10.33048/semi.2019.16.118zbMath1440.34027OpenAlexW3015359271MaRDI QIDQ2279477
Publication date: 12 December 2019
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.33048/semi.2019.16.118
Fourier transformSobolev spaceordinary differential equationJacobi polynomialsDirichlet boundary value problemBessel polynomialsRiemann-Liouville fractional integralGreen's operatorLegendreGauss hypergeometric functionsspherical Bessel functions
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Green's functions for ordinary differential equations (34B27) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Linear boundary value problems for ordinary differential equations (34B05) Orthogonal polynomials and functions associated with root systems (33C52)
Uses Software
Cites Work
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- The best constant of Sobolev inequality corresponding to clamped boundary value problem
- Bessel polynomials
- Green's function for n-n boundary value problem and an analogue of Hartman's result
- A Green's function convergence principle, with applications to computation and norm estimates
- The constants in the asymptotic formulas by Rambour and Seghier for inverses of Toeplitz matrices
- A New Class of Orthogonal Polynomials: The Bessel Polynomials
- The Bessel Polynomials
- The Green's function for \((k,n-k)\) conjugate boundary value problems and its applications
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