Modern Operator Theory and Applications

The Igor Borisovich Simonenko Anniversary Volume

  • Yakob M. Erusalimsky
  • Israel Gohberg
  • Sergei M. Grudsky
  • Vladimir Rabinovich
  • Nikolai Vasilevski

Part of the Operator Theory: Advances and Applications book series (OT, volume 170)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Pages 1-26
  3. L. P. Castro, R. Duduchava, F. -O. Speck
    Pages 53-74
  4. Ronald G. Douglas, Ciprian Foias
    Pages 75-84
  5. Israel Feldman, Nahum Krupnik, Alexander Markus
    Pages 85-100
  6. Sergei M. Grudsky
    Pages 107-135
  7. Vakhtang Kokilashvili, Vakhtang Paatashvili, Stefan Samko
    Pages 167-186
  8. Vladimir S. Rabinovich, Steffen Roch, Bernd Silbermann
    Pages 205-228

About this book

Introduction

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.

Keywords

C*-algebra Carleson curve Toeplitz operator band-dominated operator convolution differential equation finite sections method operator theory singular integral operator

Editors and affiliations

  • Yakob M. Erusalimsky
    • 1
  • Israel Gohberg
    • 2
  • Sergei M. Grudsky
    • 3
  • Vladimir Rabinovich
    • 4
  • Nikolai Vasilevski
    • 3
  1. 1.Mechanical-Mathematics DepartmentRostov State UniversityRostov-on-DonRussia
  2. 2.School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact SciencesTel Aviv UniversityRamat AvivIsrael
  3. 3.Departamento de MatemáticasCINVESTAVMexico, D.F.Mexico
  4. 4.Instituto Politecnico NacionalESIME ZacatencoMexico, D. F.Mexico

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7643-7737-3
  • Copyright Information Birkhäuser Verlag 2007
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-7736-6
  • Online ISBN 978-3-7643-7737-3
  • About this book
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