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A spectral analysis of the Weierstrass-Mandelbrot function on the Cantor set
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-3320-1493
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-0865-7248
2016 (English)Conference paper, Presentation (Other academic)
Abstract [en]

In this paper, the Weierstrass-Mandelbrot function on the Cantor set is presented with emphasis on possible applications in science and engineering. An asymptotic estimation of its one-sided Fourier transform, in accordance with the simulation results, is analytically derived. Moreover, a time-frequency analysis of the Weierstrass-Mandelbrot function is provided by the numerical computation of its continuous wavelet transform.

Place, publisher, year, edition, pages
2016.
Keyword [en]
Weierstrass-Mandelbrot function, Cantor set, one-sided Fourier transform, continuous wavelet transform.
National Category
Computational Mathematics Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33258OAI: oai:DiVA.org:mdh-33258DiVA: diva2:974558
Conference
10th International Conference on Software, Knowledge, Information Management & Applications (SKIMA) 2016, Chengdu, China, 2016.
Available from: 2016-09-27 Created: 2016-09-27 Last updated: 2016-12-13Bibliographically approved

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