- 期刊
ON TWO NEW CHARACTERIZATIONS OF STIELTJES TRANSFORMS FOR DISTRIBUTIONS
並列摘要
Two new characterizations of the Stieltjes transform for distribution are developed, using two transformations on the space of distributions viz., dilation U_n and exponential shifts T^(-p). The standard theorem on analyticity, uniqueness and invertibility of the Stieltjes transform are proved, using the new characterization as the definition of the Stieltjes transform.
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