Dirac’S Delta Function Hausdorff Dimension Function Pair of Reciprocal Functions Due to the Theorem by Mellin 44A05 46F12 28A78
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.
