On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin
| Data(s) |
27/08/2010
27/08/2010
2004
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|---|---|
| Resumo |
Mathematics Subject Classification: 44A05, 46F12, 28A78 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. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 7, No 4, (2004), 409p-420p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Dirac’S Delta Function #Hausdorff Dimension Function #Pair of Reciprocal Functions Due to the Theorem by Mellin #44A05 #46F12 #28A78 |
| Tipo |
Article |
