Contents: V. 1. Properties and operations.- V. 2. Spaces of fundamental and generalized function.- V. 3. Theory of differential equations. by I. M. Gelfand and G. E. Shilov Translated by Meinhard E. Mayer.- V. 4. Applications of Harmonic analysis by I. M. Gelford and N. Ya Vilenkin, translated by Amiel Feinstein.- V. 5. Integral geometry and representation theory, I. M. Gelfand M. I. Graev and N. Ya. Vilenkin, translated by Eugene saletan ...