ABSTRACT
In this paper, we study the construction of orthonomal wavelets in the periodic spline functions space with two-defect. Firstly, we give an orthonomal basis in scale functions space https://www.w3.org/1998/Math/MathML"> V m n , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003419839/4baaeab4-d6e3-45ed-9dec-1deb90c341dd/content/inline-math988.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> and the proof of zeros Theorem of symbol matrix. Secondly, by using the interpolation wavelets basis, we obtain an orthonomal basis of wavelets space and it's two-scale relation.
