Title: An infinitely differentiable function with compact support: Definition and properties,
Abstract: This is the English translation of my old paper 'Definición y estudio de
una función indefinidamente diferenciable de soporte compacto', Rev. Real
Acad. Ciencias 76 (1982) 21-38. In it a function (essentially Fabius function)
is defined and given its main properties, including: unicity, interpretation as
a probability, partition of unity with its translates, formulas for its $n$-th
derivates, rationality of its values at dyadic points, formulas for the
effective computation of these values, and some arithmetical properties of
these values. Since I need it now for a reference, I have translated it.