Wiener's third Tauberian Theorem (a short survey)Hans G. Feichtinger given at IK-Fei (07.06.07 11:15) id: 573 length: 75min status: possible type: www: http://univie.ac.at/nuhag-php/bibtex/open_files/fe88-1_TauberIII.pdf LINK-Presentation: ABSTRACT: This (possible, if there is nothing else scheduled) presentation will describe the connection between decompositions spaces (especially with dyadic decompositions spaces, as they are used for the description of Besov spaces), functions of bounded p-means, and Norbert Wiener's classical theory of Tauberian theorems. It is shown that similar to the case of L1(R) and W(C,l1) (= "Wiener's Segal algebra", in Reiter's sense) the key argument is to identify a suitable Banach algebra with respect to convolution, which can be characterized in an "atomic" way (similar to the characterization of real Hardy spaces....) If there are other topics to be discussed, "fine with me" and we can postpose this presentation to some other date. Das zugrundeliegende (alte) paper aus 1988 ist (nur?) in der NuHAG DB zu finden unter fe88-1 http://univie.ac.at/nuhag-php/bibtex/open_files/fe88-1_TauberIII.pdf |