@article{hrj:7426, title = {Arithmetical Fourier transforms and Hilbert space: Restoration of the lost legacy}, author = {J.-W Feng and S Kanemitsu and T Kuzumaki}, url = {https://hrj.episciences.org/7426}, doi = {10.46298/hrj.2021.7426}, journal = {Hardy-Ramanujan Journal}, issn = {2804-7370}, volume = {Volume 43 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2020}, eid = 5, year = {2021}, month = {May}, keywords = {Chebyshev-Markov expansion, Arithmetical Fourier Transform, Hilbert space, Möbius inversion, 2010 Mathematics Subject Classification. 42A16, 11A25, 01A55, [MATH]Mathematics [math]}, language = {English}, }