Encounters with Mischa Cotlar
نویسندگان
چکیده
The First Encounter From 1948 to 1951 I lived in the Colegio de España at the University City in Paris. Since the Spanish civil war the college was under the administration of the French government and housed several refugees from Spain. Among them there were some mathematicians who had settled in Argentina, for instance Manuel Balanzat, professor at the University of Cuyo in San Luis and a disciple of Luis A. Santaló. I must add that I had already heard about Santaló in Budapest in 1946 when László Fejes-Tóth presented Santaló’s proof of the isoperimetric inequality in his course on geometry. There were also some Portuguese mathematicians, opposed to the Salazar regime and established in Brazil. It is from all these that I first heard the names of Antonio Monteiro, Leopoldo Nachbin, and Mischa Cotlar. In May 1951, on my way from Paris to Bogotá, I visited the United States for a few weeks. With my fellow student Steve Gaal we traveled to New Haven to see Shizuo Kakutani at Yale University.
منابع مشابه
Holomorphic Sobolev Spaces Associated to Compact Symmetric Spaces
Using Gutzmer’s formula, due to Lassalle, we characterise the images of Soblolev spaces under the Segal-Bargmann transform on compact Riemannian symmetric spaces. We also obtain necessary and sufficient conditions on a holomorphic function to be in the image of smooth functions and distributions under the Segal-Bargmann transform.
متن کاملHypergeometric Functions and Binomials
We highlight the role of primary decomposition of binomial ideals in a commutative polynomial ring, in the description of the holonomicity, the holonomic rank, and the shape of solutions of multivariate hypergeometric differential systems of partial differential equations. En honor a Mischa Cotlar, con afecto y admiración
متن کاملIterated Aluthge Transforms: a Brief Survey
Given an r × r complex matrix T , if T = U |T | is the polar decomposition of T , then the Aluthge transform is defined by ∆ (T ) = |T |U |T |. Let ∆n(T ) denote the n-times iterated Aluthge transform of T , i.e. ∆0(T ) = T and ∆n(T ) = ∆(∆n−1(T )), n ∈ N. In this paper we make a brief survey on the known properties and applications of the Aluthge trasnsorm, particularly the recent proof of the...
متن کاملCotlar-Stein Almost Orthogonality Lemma
When deriving the estimates on integral operators one often uses the Almost Orthogonality principle of M. Cotlar and E.M. Stein, first proved by M. Cotlar in [Cot55]. This result is classical; our excuse for formulating it once again is a need to have its weighted form which sometimes allows to reduce the number of integrations by parts in half (hereby weakening smoothness requirements), and al...
متن کاملA Dialogue Between Two Lifting Theorems
The relation between the lifting theorems due to Nagy-Foias and Cotlar-Sadosky is discussed. PRESENTATION. The Nagy-Foias commutant lifting theorem is a basic result in Operator Theory and its applications to interpolation problems. Its scope is shown in a fundamental book due to Foias and Frazho where we can read that “the work on the general framework of the commutant lifting theorem continue...
متن کامل