© 2019

Modern Methods in Operator Theory and Harmonic Analysis

OTHA 2018, Rostov-on-Don, Russia, April 22-27, Selected, Revised and Extended Contributions

  • Alexey Karapetyants
  • Vladislav Kravchenko
  • Elijah Liflyand
Conference proceedings OTHA 2018

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 291)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Function Theory and Approximation Theory

    1. Front Matter
      Pages 1-1
    2. Mikhail L. Goldman, Elza Bakhtigareeva
      Pages 3-34
    3. Vagif S. Guliyev, Ahmet Eroglu, Gulnara A. Abasova
      Pages 35-49
    4. A. Iosevich, K. Taylor
      Pages 51-56
    5. Helmuth R. Malonek, Isabel Cação, M. Irene Falcão, Graça Tomaz
      Pages 93-115
    6. Yoshihiro Sawano
      Pages 117-133
  3. Functional Analysis and Operator Theory

    1. Front Matter
      Pages 135-135
    2. Roland Duduchava
      Pages 153-174
    3. Davresh Hasanyan, Armen Kamalyan, Martin Karakhanyan, Ilya M. Spitkovsky
      Pages 175-197
    4. Anatoly G. Kusraev, Zalina A. Kusraeva
      Pages 217-236
    5. Ekaterina Shulman
      Pages 249-261
  4. Differential Equations and Mathematical Physics

    1. Front Matter
      Pages 273-273

About these proceedings


This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.

The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory, differential equations and fractional analysis – all fields that have been intensively developed in recent decades. Direct and inverse problems arising in mathematical physics are studied and new methods for solving them are presented. Complex multiparameter objects that require the involvement of operators with variable parameters and functional spaces, with fractional and even variable exponents, make these approaches all the more relevant.

Given its scope, the book will especially benefit researchers with an interest in new trends in harmonic analysis and operator theory, though it will also appeal to graduate students seeking new and intriguing topics for further investigation.


functional analysis function theory differential equations Hausdorff operators variable exponent analysis operator theory approximation theory mathematical physics OTHA-2018 47Bxx 46Exx 35Qxx 42-xx 46E15 46E30 46E35 42-00

Editors and affiliations

  • Alexey Karapetyants
    • 1
  • Vladislav Kravchenko
    • 2
  • Elijah Liflyand
    • 3
  1. 1.Institute of Mathematics, Mechanic and Computer Sciences and Regional Mathematical CenterSouthern Federal UniversityRostov-on-DonRussia
  2. 2.Department of MathematicsCinvestavSantiago de QuerétaroMexico
  3. 3.Department of MathematicsBar-Ilan UniversityRamat GanIsrael

Bibliographic information

  • Book Title Modern Methods in Operator Theory and Harmonic Analysis
  • Book Subtitle OTHA 2018, Rostov-on-Don, Russia, April 22-27, Selected, Revised and Extended Contributions
  • Editors Alexey Karapetyants
    Vladislav Kravchenko
    Elijah Liflyand
  • Series Title Springer Proceedings in Mathematics & Statistics
  • Series Abbreviated Title Springer Proceedings in Mathematics & Statistics
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-030-26747-6
  • Softcover ISBN 978-3-030-26750-6
  • eBook ISBN 978-3-030-26748-3
  • Series ISSN 2194-1009
  • Series E-ISSN 2194-1017
  • Edition Number 1
  • Number of Pages XV, 475
  • Number of Illustrations 12 b/w illustrations, 7 illustrations in colour
  • Topics Operator Theory
    Functional Analysis
    Partial Differential Equations
  • Buy this book on publisher's site