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

Südland, Norbert; Baumann, Gerd

Fractional Calculus and Applied Analysis (2004)

- Volume: 7, Issue: 4, page 409-420
- ISSN: 1311-0454

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topSüdland, 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 -

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