Even though by character he was totally Argentine and particularly from Buenos Aires, there were in his behaviour many of the stately traits of his lineage.

We do not want to conclude without expressing the unpayable debt of gratitude that links us to our dear teacher Julio Rey Pastor. Even before I knew him, his excellent books (the only ones in the Spanish language and comparable to the best foreign ones) and the bibliography they contained, had introduced us to modern Mathematics. Then, the years of frequenting his classes and his treatment have only increased that debt, and it is certain that without his teachings, his example, and even his suggestions, that this thesis would not have been written. There are certain debts that can neither be described nor can be repaid. Those kind are ours. That which has already been said is worth, at least, an expression of our deepest gratitude.

I also befriended Alberto González Domínguez, an analyst interested in physics and engineering, open to new ideas and ever ready to help with some mathematical problem or other and offer us a cup of coffee. He introduced us to cybernetics, game theory, and the theory of distributions.

My life in Mathematics began when I transferred from The University of Cuyo, San Juan, to the University of Buenos Aires in 1961. My brother Alberto Calderón helped me economically and morally for the jump. Upon my arrival to Buenos Aires, Dr Alberto González Donnínguez (1904-1982) helped and oriented me with the change. The first subject I took in the Mathematics Department, School of Exact Sciences, was Funciones Reales I, first course on Lebesgue Integration. Prof Evelio Oklander was the instructor.

With the years, I would take Complex Analysis, Ordinary Differential Equations, Funciones Reales II, Partial Differential Equations, Topology, Functional Analysis, Projective Geometry, Differential Geometry, and other important subjects. We had a first rate faculty teaching these fundamental courses. Among them I remember: Alberto Gonzalez Dominguez, Mischa Cotlar, Luis Santaló, Mario Gutiérrez Burzaco, Rafael Panzone, Agnes Benedek, Miguel Herrera, and Prof Roque Carranza (statistician). This period was replete of personal experiences. I met mathematicians like Dr Julio Rey Pastor and Beppo Levi during the mathematical teas that were held in the OEA building of Avenida de Mayo. A full floor had been loaned to the School of Exact Sciences of the University of Buenos Aires.
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Shortly before my graduation as "Licenciado en Ciencias Matemáticas," I took a course on "Boundary Values of Analytic Functions" that was taught by Dr González Domínguez. That course was an introduction to "mes premiéres armes" in mathematics. Dr González Domínguez would become my thesis adviser later. I learned from him topics such as the Central Limit Theorem in Probability Theory, Introduction to Functions of Hille (Hermite Expansions), Laguerre Expansions, Theory of Approximation and Theory of Distributions. He was a personality larger than life, a prodigy child that spoke 14 languages and was well versed in Philosophy, Literature and History. He would frequently cite portions of French and Spanish classic literature. One of his favourites was Baudelaire. However, the most important part of his personality was his generosity and selflessness. He had been a student of Dr Julio Rey Pastor, and after his graduation he went on a Guggenheim fellowship to Brown University, USA, to study under David Tamarkin. Nevertheless, the most discernible influence on him was Einer Hille's work "A Class of Reciprocal Functions." That influence was passed on to me and from me on to some of my own students.

Much of the mathematical theory of linear circuits, as it is found in present day papers and treatises, is based upon the assumption that the circuits consist of finite collections of lumped elements. On the other hand, many of the relations obtained in the theory hold under much broader conditions. Thus there has existed some uncertainty as to just what assumptions are required for the deeper parts of the theory. The chief purpose of this paper is to clarify this point.

The author gives a rigorous treatment of a number of singular functions employed in quantum electrodynamics, via the Schwartz distribution theory. Some of the formulas of Schwinger, Feynman and Dyson are obtained more simply in their present rigorous formulation.

A discussion of some divergent integrals which occur in the perturbation-theory treatment of quantum electrodynamics. It is shown that these integrals can be systematically made finite by interpreting them as integrals over distributions in the sense of Laurent Schwartz.

According to the author, his principal objective in this book is to give an exposition of some results of V P Potapov who, in a paper in 1955, generalised various classical results of function theory to the case of matrices of holomorphic functions. This objective is accomplished in a brief and clear manner in the two final chapters and two appendices of this book. It is likely, however, that the book's greatest usefulness will be found in its clear and interesting account of the classical boundary behaviour and representation theorems associated with such names as Fatou, Herglotz, Plessner, Julia, Carathéodory and Rolf Nevanlinna.

We present a method of analytic regularization with which any element of the S-matrix becomes an analytic function of a complex parameter. The usual divergences appear simply as poles at the physical value of the parameter. The subtraction of these poles leads to the usual finite parts. A simple example is discussed, in which the mathematical justification for these subtractions is given. In the consideration of this example we discuss the causal Green's functions of the iterated D'Alembertian. They are constructed from the retarded and advanced solutions introduced by M Riesz. The application to the self-energy of the electron is explicitly given. An heuristic deduction is then used to convert the problem of the evaluation of the self-energy into the problem of solving a differential equation. The self-energy integral is a formal solution of the latter equation, the finite part (with the pole subtracted) being a rigorous solution.

The performance of Professor González Domínguez in the Argentine Mathematical Union has been continuous and fundamental: founding member, several times President and always the soul of its Directive Commissions. The creation and subsistence of the Argentine Mathematical Union and its Journal, although it has always had the encouragement of many, has been the tenacious and persevering work of a few, among whom Professor González Domínguez occupies an exceptional place.

From any angle you look at it, Argentine Mathematics has revolved in the last fifty years around the work of Rey Pastor and his main collaborator and continuator González Domínguez. Nothing is born spontaneously and behind the realities achieved and the promising perspectives that are glimpsed for mathematics in the country, the solicitous and careful hand is perceived, the protective shadow of Professor González Domínguez, always present to iron out rough edges, proclaiming compromise in the relational life, firmly maintaining the seriousness and level of scientific work, putting order in value judgments and putting people and things in their place, subtle and delicate work that can only be done when you have sufficient scientific authority and an inexhaustible effective capacity to give love by the hand full and to absorb ingratitude without fainting, although not without pain.

To finish we will point out that the key characteristics of his personality were kindness and generosity, qualities that he lavished on his friends and also on those who were not so; he knew how to forgive ingratitude and forget grievances. In short, González Domínguez was a wise man and a good man who dedicated his life to doing science and promoting the development of mathematics in Argentina. As every authentic master wanted to be surpassed by his disciples, their triumphs were his greatest satisfaction; all of them know how to continue his work and take Argentine mathematics to higher and higher levels.