Paley-Wiener-type theorems for a class of integral transforms
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Publication:1604465
DOI10.1006/jmaa.2001.7740zbMath0998.44001OpenAlexW1985849635MaRDI QIDQ1604465
Publication date: 4 July 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2001.7740
integral transformsPaley-Wiener theoremweighted \(L^2\)-spacessingular Sturm-Liouville boundary-value problems
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Cites Work
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- On the inversion of integral transforms associated with Sturm-Liouville problems
- A new proof of a Paley-Wiener type theorem for the Jacobi transform
- New type Paley-Wiener theorems for the modified multidimensional Mellin transform
- On the range of the Hankel and extended Hankel transforms
- Paley-Wiener type theorems for a differential operator connected with symmetric spaces
- A Property of Infinitely Differentiable Functions
- Real Singularities of Singular Sturm–Liouville Expansions
- The Continuous (α, β)-Jacobi Transform and its Inverse when α+ β+ 1 is a Positive Integer
- On integral transforms whose kernels are solutions of singular Sturm–Liouville problems
- On the supports of functions
- Functions with Bounded Spectrum
- Some Special Tauberian Theorems for Fourier Type Integrals and Eigenfunction Expansions of Sturm‐Liouville Equations on the Whole Line
- On the range of the Y-transform
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