Thin interpolating sequences in the disk

Using a kind of summability procedure we give, within this survey, a new proof of a result by Sundberg and Wolff on large perturbations of thin interpolating sequences and present a detailed proof of the statement of Dyakonov and Nicolau that asymptotic interpolation problems in H^∞ can be solved by thin Blaschke products. Dedicated to Professor Heinz K?nig on the occasion of his 80^th birthday