Modern Operator Theory and Applications
The Igor Borisovich Simonenko Anniversary Volume
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Beschreibung
This volume is dedicated to the eminent Russian mathematician Igor Borisovich Simonenko on the occasion of his 70th birthday. It consists of a selection of 15 original contributions written by leading experts in operator theory. The topics reflect the wide range and the rich variety of areas of interests, achievements and influence of I.B. Simonenko. The book also includes his biography, the complete list of publications and a list of his Ph.D. students.
Among the topics covered are functional, Toeplitz and Toeplitz plus Hankel, local and nonlocal, singular integral and convolution operators, and continuous analogs of resultant operators. The contributions analyze and solve problems of factorization, irreducibility, asymptotics of determinants, finite sections, and index problems for different types of operators. Applications concern problems in financial mathematics and hydrodynamics.
The book will be of interest to a wide audience of pure and applied mathematicians.
(jointly with V.P. Zakharyuta and V.I. Yudovich), including a calculation of the capacity of condensers of complex form and dielectric materials with complex structure. In 1967, at the age of 32, six years after he defended his Ph.D. thesis, I.B. - monenko defended his thesis for a degree of Doctor of Science. In this thesis, entitled “Operators of local type and some other problems of the theory of linear operators,” he sharply turned towards the wide usage of the general methods of functional analysis. In 1971 professor I.B. Simonenko became the head of the - merical Mathematics Chair. The following year this chair was split into two; I.B. became the head of one of them, the Chair of Algebra and Discrete Mathematics. The Chair of Algebra and Discrete Mathematics can be rightfully called the Chair of I.B. Simonenko. Here he worked together with his colleagues, students, and the students of his students. Here he fully developed his teaching talent. He lectured on “Algebra and geometry,” “Mathematical logic,” “Discrete mathem- ics,” and “Mathematical analysis”.
Contains new, up-to-date results on the very active area of modern operator theory Presents a collection of papers on different areas of operator theory giving a clear concept of contemporary achievements in these areas, of profitable interrelations among them, and of some important applications Contributions present the state of the art in the areas of operator theory originally initiated in pioneer works of I.B. Simonenko Includes supplementary material: sn.pub/extras
Autor*in
Yakob M. Erusalimskii
Themen in »Modern Operator Theory and Applications«
C*-algebra Carleson curve Toeplitz operator band-dominated operator convolution differential equation finite sections method operator theory singular integral operator