Tauberian

In the third chapter we obtain characterizations of Tauberian convergence classes in the limiting case and representations of Fourier and Fourier-Stieltjes coefficients.

Lorentz has developed a general method for obtaining Tauberian conditions for absolute summability.

In this section we use ideas from the proof of Proposition 4.3 to obtain a convergence theorem involving more general Tauberian conditions.