On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin

Südland, Norbert, and Baumann, Gerd. "On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin." Fractional Calculus and Applied Analysis 7.4 (2004): 409-420. <http://eudml.org/doc/11259>.

@article{Südland2004,
abstract = {Mathematics Subject Classification: 44A05, 46F12, 28A78We 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.},
author = {Südland, Norbert, Baumann, Gerd},
journal = {Fractional Calculus and Applied Analysis},
keywords = {44A05; 46F12; 28A78},
language = {eng},
number = {4},
pages = {409-420},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin},
url = {http://eudml.org/doc/11259},
volume = {7},
year = {2004},
}

TY - JOUR
AU - Südland, Norbert
AU - Baumann, Gerd
TI - On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin
JO - Fractional Calculus and Applied Analysis
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 7
IS - 4
SP - 409
EP - 420
AB - Mathematics Subject Classification: 44A05, 46F12, 28A78We 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.
LA - eng
KW - 44A05; 46F12; 28A78
UR - http://eudml.org/doc/11259
ER -