  In the present work, we focus on the space-time isogeometric discretization
of a parabolic problem with a nonlocal diffusion coefficient. The use of a
space-time discretization with smooth basis functions yields advantages in the
approximation of the solution. The existence of the unique solution for
continuous and discrete space-time variational formulations is proven. We also
establish the a priori error estimate for the space-time isogeometric scheme.
The non-linear system is linearized through Picard's method and a suitable
preconditioner for the linearized system is provided. Finally, to confirm the
theoretical findings, results of some numerical experiments are presented.
