A brief tour through the Wavelets
Keywords:Wavelets, Fourier, Haar, AMR, orthonormal basis, transform
The objetive of these notes is to give a brief overview of wavelet theory, both of the fundamental mathematical arguments and of the ideas it contains. In addition, the theory is suitable for multidisciplinary work.
Chui CK. An Introduction to Wavelets. San Diego: Ac.d. Press; 1992.
Daubechies I. Ten Lectures on Wavelets. Philadelphia: SIAM; 1992.
Debnat L, Shah FA. Wavelet Transforms and Their Applications. 2d editon. Boston: Birkhäuser; 2015.
Frazier M. An Introduction to Wavelets Through Linear Algebra. New York: Springer; 1999.
Hernández E, Weiss G. A First Course on Wavelets. Boca Raton: CRC. Press; 1996.
Mallat S. Multiresolution Approximations and Wavelet Orthonormal Base of L^2(R). Trans.Am.Math.Soc. 315. 1989.
Mallat S. A Wavelet Tours of Signal Processing. Second Edit. USA: Academic Press; 2000.
Meyer Y. Wavelets and Operators. Cambridge University Press. Vol.1; 1992.
Ortiz A. Ondículas (``Wavelets''), un Paseo Histórico-Analítico. Lima: Sec. Matem. PUCP. Vols.1, 2; 2012.
Ortiz A. Ondículas, Evolución de Algunas Ideas y Aplicaciones. Selecciones Matemáticas. 2019; Vol.06(01): 119-127.
Strang G, Nguyen T. Wavelets and Filter Banks. Wallesley - Cambridge Press; 1996.
Jaffard S, Meyer Y, Ryan RD. Wavelets: Tools for Science-Technology. Philadelphia: SIAM; 2001.
How to Cite
Copyright (c) 2022 Selecciones Matemáticas
This work is licensed under a Creative Commons Attribution 4.0 International License.The authors who publish in this journal accept the following conditions:
1. The authors retain the copyright and assign to the journal the right of the first publication, with the work registered with the Creative Commons Attribution License, which allows third parties to use what is published whenever they mention the authorship of the work And to the first publication in this magazine.
2. Authors may make other independent and additional contractual arrangements for non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly state that The paper was first published in this journal.
3. Authors are encouraged to publish their work on the Internet (for example, on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and more rapid dissemination Of the published work.