SOME ASPECTS OF THE THEORY OF WAVELETS

Authors

  • Luis Miguel Núñez Ramírez Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú
  • Humberto Emiliano Gálvez Pérez Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú
  • Roland Hubert Peña Flores Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú

DOI:

https://doi.org/10.15381/pes.v13i1.9515

Keywords:

Function scale ϕ, wavelets ψ, trigonometric polynomial m0, AMR and Frames .

Abstract

The aim of this paper is to briefly discuss some strategies that have been developed for the construction of trigonometric polynomial m0 under certain conditions. Also show the relationship between the function scale ϕ, the wavelet and the trigonometric polynomial m0.

Therefore, the Multiresolution Analysis (AMR) plays a vital role in the construction of orthonormal bases of wavelets. Among the new techniques used, one of the most important is the theory of frames that have a direct relationship with the wavelets analysis.

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Published

2010-07-15

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Artículos

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