Distributions: Theory and Applications

I am sure that something must be found. There must exist a notion of generalized functions which are to functions what the real numbers are to the rationals (G. Peano, 1912) Not that much effort is needed, for it is such a smooth and simple theory (F. Trèves, 1975) In undergraduate physics a lecturer will be tempted to say on certain occasions: “Let—. x/ be a function on the line that equals 0 away from 0 and is inflnite at 0 in such a way that its total integral is 1. The most important pr...