Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1235

 Title: On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin Authors: Südland, NorbertBaumann, Gerd Keywords: Dirac’S Delta FunctionHausdorff Dimension FunctionPair of Reciprocal Functions Due to the Theorem by Mellin44A0546F1228A78 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 URI: http://hdl.handle.net/10525/1235 ISSN: 1311-0454 Appears in Collections: 2004

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