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Convolutions of Sturm-Liouville transforms; the singular sine and cosine. (English) Zbl 0447.44002

MSC:

44A15 Special integral transforms (Legendre, Hilbert, etc.)
44A35 Convolution as an integral transform
34L99 Ordinary differential operators
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34B27 Green’s functions for ordinary differential equations
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