Asymptotic Behavior of Singular and Entropy Numbers for Some Riemann–Liouville Type Operators
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Abstract The asymptotic behavior of the singular and entropy numbers is established for the Erdelyi–Köber and Hadamard integral operators (see, e.g., [Samko, Kilbas and Marichev, Integrals and derivatives. Theoryand Applications, Gordon and Breach Science Publishers, 1993]) acting in weighted L 2 spaces. In some cases singular value decompositions are obtained as well for these integral transforms.
1998 ◽
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2007 ◽
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1976 ◽
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