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Title: On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin
Authors: Südland, Norbert
Baumann, Gerd
Keywords: Dirac’S Delta Function
Hausdorff Dimension Function
Pair of Reciprocal Functions Due to the Theorem by Mellin
Issue Date: 2004
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 7, No 4, (2004), 409p-420p
Abstract: We prove that Dirac’s (symmetrical) delta function and the Hausdorff dimension function build up a pair of reciprocal functions. Our reasoning is based on the theorem by Mellin. Applications of the reciprocity relation demonstrate the merit of this approach.
Description: Mathematics Subject Classification: 44A05, 46F12, 28A78
ISSN: 1311-0454
Appears in Collections:2004

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