This paper shows that certain Tauberian theorems which hold for "moving averages" (which means smoothing of a given function is performed by taking averages with constant "width") are also true for slowly varying averages (i.e. the width of the average may slowly increase as the functions goes to infinity). The problem with such problems is the loss of any kind of convolution structure and therefore associativity.

The basic idea to this paper goes back to early work of A.Beurling and two papers based on his ideas, published in 1972.

Keywords: function spaces, Tauberian theorems, moving average.

Review of the paper as given by Zentralblatt f. Mathematik. 

This paper is not available in electronic form. Please request a reprint from the author

Up to the list of papers or to the NUHAG Home Page