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 -
