%0 Journal Article %T Framelets in Quaternion Space %A Zohreh Rahbani %J specialty journal of electronic and computer sciences %@ 2412-7485 %D 2016 %V 2 %N 1 %P 29-37 %X In this paper,, we will familiar with the quaternion space, extend the Fourier transform and classic wavelet transform, then introduce continuous quaternion wavelet and express admissible condition to quaternion wavelet transform. We also show that there can be established fundamental predicates such as inner multiplication, soft relationship and inversion formula when quaternion wavelet satisfies in particular admissible conditions. %U https://sciarena.com/article/framelets-in-quaternion-space