A New Characterization of The 𝟐𝒌 − Adic – Type Cantor – Like Sets and 𝟐𝒌 − Adic – Type Cantor Functions

Hasan Abed, Inas; Mohammadzadeh, Bahram; Naji, Saad

doi:10.22080/cjms.2026.30654.1781

A New Characterization of The 𝟐𝒌 − Adic – Type Cantor – Like Sets and 𝟐𝒌 − Adic – Type Cantor Functions

Document Type : Research Articles

Authors

¹ Department of Mathematic, College of Basic sciences, Babol Noshirvani University of Technology, Mazandaran

² Babol Noshirvani university of Thechnology

³ 3Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq

10.22080/cjms.2026.30654.1781

Abstract

The aim of this article is a another method construction of 8.adic-type Cantor .like sets is studied. We introduce an important type of orthogonal sequence called an orthonormal sequence of 8-adic-type Cantor-like sets type that are useful in many applications likes: physics, engineering, computer science, signal and image processing etc. The characterization and some basic properties for this sequence with their proofs are given. Finally, the 𝒲𝓅-.Fourier series of a given function h in terms of functions .𝒲𝓅,𝓅≥0, is discussed

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