TY - JOUR T1 - Framelets in Quaternion Space A1 - Zohreh Rahbani JF - specialty journal of electronic and computer sciences JO - SPEC. J. ELECTRON. COMPUT. SCI. SN - 2412-7485 Y1 - 2016 VL - 2 IS - 1 SP - 29 EP - 37 N2 - 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. UR - https://sciarena.com/article/framelets-in-quaternion-space ER -