The $\mathcal{C}$-Borel transform
نویسندگان
چکیده
منابع مشابه
Norms of the Borel Transform and the Decomposition of Measures
We relate the decomposition over a; b] of a measure dd (on R) into absolutely continuous, pure point, and singular continuous pieces to the behavior of integrals b R a (Im F(x + ii)) p dx as # 0. Here F is the Borel transform of dd, that is, F(z) = R (x ? z) ?1 dd(x). x1. Introduction Given any positive measure on R with Z dd(x) 1 + jxj < 1; (1.1) one can deene its Borel transform by F(z) = Z d...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1974
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1974-0330946-9