%0 Journal Article %T Fourier-Mukai transformations on K3 surfaces with $¦Ñ=1$ and Atkin-Lehner involutions %A Kotaro Kawatani %J Mathematics %D 2012 %I arXiv %X We show that there is a surjection from the Fourier-Mukai transformations on projective K3 surfaces with the Picard number $\rho (X)=1$ to so called to the group of Atkin-Lehner involutions. This was expected in Hosono-Lian-Oguiso-Yau's paper. %U http://arxiv.org/abs/1209.1459v1