"A Variational Theory of Convolution-Type Functionals" offers a comprehensive analysis of functionals based on convolution energies, whose kernels possess finite p-moments. The book addresses gamma convergence to demonstrate that the limit can be represented as a local functional integral. This type of energy finds applications in various fields, including peridynamics, population dynamics, and data science. The results obtained are applied to topics such as periodic and stochastic homogenization, broken regions, gradient flows, and point cloud models. The work is aimed at mathematical analysts and applied mathematicians interested in the transition from non-local to local descriptions in static and dynamic problems.