A New Structure for Scaling Functions System with Dyadic Intervals

• Main Authors: Shamsah, Raghad S., Ahmedov, Anvarjon A., Hishamuddin, Zainuddin, Kilicman, Adem, Fudziah, Ismail
• Format: Conference or Workshop Item
• Language: English; English
• Published: AIP Publishing LLC 2017
• Subjects: Q Science (General)
• Online Access: http://umpir.ump.edu.my/id/eprint/18437/1/A%20new%20structure%20for%20scaling%20functions%20system%20with%20Dyadic%20intervals.pdf; http://umpir.ump.edu.my/id/eprint/18437/2/A%20new%20structure%20for%20scaling%20functions%20system%20with%20Dyadic%20intervals%201.pdf; http://umpir.ump.edu.my/id/eprint/18437/; http://dx.doi.org/10.1063/1.4972150

A scaling functions system is a series of subspaces {Vj}j∈Z that are embedded and spanned by a group of scaling basis functions {ϕj,k}. To fully grasp how to construct this system using a unique function ϕ(x) ∈ L2(Ij,k) when {Ij,k} is the Dyadic intervals set, its structure is studied. The Dyadic in...