On the strum-liouville transform: the regular case∗
DOI10.1080/10652460108819308zbMath1048.34057OpenAlexW2136738572MaRDI QIDQ2759203
Antonio G. García, Miguel Ángel Hernández-Medina
Publication date: 19 March 2002
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652460108819308
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Nontrigonometric harmonic analysis (42C99) Kernel functions in one complex variable and applications (30C40) General integral transforms (44A05)
Cites Work
- On the inversion of integral transforms associated with Sturm-Liouville problems
- On Kramer’s Sampling Theorem Associated with General Sturm-Liouville Problems and Lagrange Interpolation
- On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
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