The point wise behavior of 2-dimensional wavelet expansions in Lᴾ (R²)

We show that the two dimensional wavelet expansion of Lᴾ (R²) function for 1 < p < ∞ converges pointwise almost everywhere under wavelet projection operator. This convergence can be established by assuming some minimal regularity to get the rapidly decreasing for two dimensional wavelet ψj1,j2...

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Bibliographic Details
Main Authors: Shamsah, Raghad Sahib, Ahatjonovich, Anvarjon Ahmedov, Zainuddin, Hishamuddin, Kilicman, Adem, Ismail, Fudziah
Format: Article
Language:English
Published: Academic Publications 2017
Online Access:http://psasir.upm.edu.my/id/eprint/15567/1/The%20point%20wise%20behavior%20of%202-dimensional%20wavelet%20expansions%20in%20L%E1%B4%BE%20R%C2%B2.pdf