Exponentially bounded positive definite functions
Berg, Christian ; Maserick, P. H.
Illinois J. Math., Tome 28 (1984) no. 4, p. 162-179 / Harvested from Project Euclid
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Equivalent conditions for scalar (or operator valued) positive definite functions, on a commutative semigroup $S$ with identity $e$, to admit a disintegration with respect to a regular positive (operator valued) measure supported by an arbitrary compact subset of semicharacters are given. The theory links to the theory of $\tau$-positive functions presented previously by the second author and comparisons between the two are given. Old and new theorems to classical and modern moment problems are obtained as a consequence.
Publié le : 1984-03-15
Classification:  43A35,  22A20,  46N05 
@article{1256046160,
     author = {Berg, Christian and Maserick, P. H.},
     title = {Exponentially bounded positive definite functions},
     journal = {Illinois J. Math.},
     volume = {28},
     number = {4},
     year = {1984},
     pages = { 162-179},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256046160}
}

Berg, Christian; Maserick, P. H. Exponentially bounded positive definite functions. Illinois J. Math., Tome 28 (1984) no. 4, pp.  162-179. http://gdmltest.u-ga.fr/item/1256046160/