## 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