Abstract
In this chapter we gather applications of transmutation methods to different problems. First some more applications of Buschman–Erdélyi transmutations are added, namely, applications to the Copson lemma, norm estimates and embedding theorems in Kipriyanov spaces, and Radon transforms via Ludwig type series representations. Further, applications to the following problems are considered: the perturbed Bessel equation with a variable potential, solution of the basic integral equation for the kernel of the transmutation operator, the problem of E. M. Landis on estimates of exponential growth of the steady-state Schrödinger equation, asymptotically exact inequalities for Legendre functions, iterated spherical means in computerized tomography, and applications of an identity for an iterated spherical mean.
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