TY - JOUR AU - Cattani, Carlo PY - 2018 M3 - Original Research TI - Sinc-Fractional Operator on Shannon Wavelet Space JO - Frontiers in Physics UR - https://www.frontiersin.org/articles/10.3389/fphy.2018.00118 VL - 6 SN - 2296-424X N2 - In this paper the sinc-fractional derivative is extended to the Hilbert space based on Shannon wavelets. Some new fractional operators based on wavelets are defined. One of the main task is to investigate the localization and compression properties of wavelets when dealing with the non-integer order of a differential operator. ER -