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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Integral as a certain type of a positive definite function


Author: Parfeny P. Saworotnow
Journal: Proc. Amer. Math. Soc. 35 (1972), 93-95
MSC: Primary 46K05; Secondary 28A45
DOI: https://doi.org/10.1090/S0002-9939-1972-0298430-7
MathSciNet review: 0298430
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Abstract: The integral with respect to an $ {H^ \ast }$-algebra valued measure on a compact Hausdorff space S is characterized as a certain type of positive definite function on the space $ C(S)$ of continuous functions on S.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0298430-7
Keywords: positive A-functional, $ {H^ \ast }$-algebra, trace-class, Bochner theorem, spectral measure
Article copyright: © Copyright 1972 American Mathematical Society