On Fourier-Stieltjes transforms integer-valued on a given subset.
نویسندگان
چکیده
منابع مشابه
Some notes on L-projections on Fourier-Stieltjes algebras
In this paper, we investigate the relation between L-projections and conditional expectations on subalgebras of the Fourier Stieltjes algebra B(G), and we will show that compactness of G plays an important role in this relation.
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We introduce a Stieltjes transform on the equivalence classes of a new generalized function which has been successfully developed by Colombeau. Subsets of rapid descent test functions, (Rn), as well as tempered distributions, ′(Rn), are used to preserve Fourier analysis techniques. 2000 Mathematics Subject Classification. Primary 46F12.
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0. Introduction. Let G be a locally compact Abelian group, and G* its group of (continuous) characters. We write (y, x) to indicate the function on G*XG which is the value of the character y EG* at the point *6G, or, dually, the value of the character xEG at the point y EG*. Borel sets in G are taken to be the smallest cr-algebra of sets containing all closed sets. We consider the set of all re...
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A procedure leading to specific properties of the symmetric stable distribution functions results by subjecting certain generalizations of the Bessel functions Ja{t) to a limit process. 1 There arises the question as to the existence of the corresponding distributions in case the limit process involved is omitted. The object of this note is to delimit the conditions under which the answer is af...
متن کاملsome notes on l-projections on fourier-stieltjes algebras
in this paper, we investigate the relation between l-projections and conditional expectations on subalgebras of the fourier-stieltjes algebra b(g), and we will show that compactness of g plays an important role in this relation.
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1979
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11798