Fractal Spherical Harmonics
Author
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper tackles the construction of fractal maps on the unit sphere.
The functions defined are a generalization of the classical spherical harmonics.
The methodology used involves an iterated function system and a linear and bounded operator of functions on the sphere.
For a suitable choice of the coefficients of the system, one obtains classical maps on the sphere.
The different values of the system parameters provide Bessel sequences, frames, and Riesz fractal bases for the Lebesgue space of the square integrable functions on the sphere.
The Laplace series expansion is generalized to a sum in terms of the new fractal mappings.
American Psychological Association (APA)
Navascués, M. A.. 2013. Fractal Spherical Harmonics. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-508775
Modern Language Association (MLA)
Navascués, M. A.. Fractal Spherical Harmonics. International Journal of Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-508775
American Medical Association (AMA)
Navascués, M. A.. Fractal Spherical Harmonics. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-508775
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508775