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...
| 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/ 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 |
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