Modern Operator Theory and Applications

Yakob M. Erusalimskii, Yakob M. Erusalimsky;Israel Gohberg;Sergei M. Grudsky;Vladimir Rabinovich;Nicolai Vasilevski3764377364, 9783764377366, 9783764377373

This volume is dedicated to the eminent Russian mathematician I.B. Simonenko on the occasion of his 70th birthday. It presents recent results in Fredholm theory for singular integral and convolution operators, estimates for singular integral operators on Carleson curves acting in Lp spaces with variable exponents, the finite sections method for band-dominated and Toeplitz operators, Szegö type theorems, the averaging method for nonlinear equations, among others. All papers are contributed by leading experts, many of whom are connected with I.B. Simonenko as students or collaborators. The book testifies the wide mathematical interest of I.B. Simonenko and includes a biography, his list of publications and a list of his Ph.D. students.

---

Table of contents :
00_front-matter……Page 1
01_fulltext……Page 8
02_fulltext……Page 34
03_fulltext……Page 49
04_fulltext……Page 58
05_fulltext……Page 80
06_fulltext……Page 90
07_fulltext……Page 106
08_fulltext……Page 112
09_fulltext……Page 141
10_fulltext……Page 171
11_fulltext……Page 191
12_fulltext……Page 208
13_fulltext……Page 232
14_fulltext……Page 252