Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators

1998 ◽  
Vol 20 (2) ◽  
pp. 699-718 ◽  
Author(s):  
N. Yarvin ◽  
V. Rokhlin
Keyword(s):  
Integral Operators ◽  
Singular Value ◽  
Singular Value Decompositions ◽  
Gaussian Quadratures

scholarly journals Asymptotic Behavior of Singular and Entropy Numbers for Some Riemann–Liouville Type Operators

2001 ◽  
Vol 8 (2) ◽  
pp. 323-332
Author(s):  
A. Meskhi
Keyword(s):  
Asymptotic Behavior ◽  
Integral Operators ◽  
Integral Transforms ◽  
Singular Value ◽  
Entropy Numbers ◽  
Liouville Type ◽  
Singular Value Decompositions

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.

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