Recent Advances in Harmonic Analysis and Applications

In Honor of Konstantin Oskolkov

  • Dmitriy Bilyk
  • Laura De Carli
  • Alexander Petukhov
  • Alexander M. Stokolos
  • Brett D. Wick
Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 25)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Konstantin Oskolkov

    1. Front Matter
      Pages 1-1
    2. Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander M. Stokolos, Brett D. Wick
      Pages 3-21
    3. Magomed A. Chakhkiev
      Pages 23-25
    4. Viktor I. Kolyada
      Pages 27-29
    5. Veniamin G. Krotov
      Pages 31-33
    6. Vladimir Temlyakov
      Pages 43-46
  3. Contributed Papers

    1. Front Matter
      Pages 47-47
    2. Dmitriy Bilyk, Vladimir N. Temlyakov, Rui Yu
      Pages 63-77
    3. Laura De Carli
      Pages 79-91
    4. Derrick Hart, Alex Iosevich, Doowon Koh, Steven Senger, Ignacio Uriarte-Tuero
      Pages 139-160
    5. Viktor I. Kolyada
      Pages 171-179
    6. Anatolii A. Korenovskii, Alexander M. Stokolos
      Pages 181-196
    7. Veniamin G. Krotov
      Pages 197-223
    8. Veniamin G. Krotov, Mikhail A. Prokhorovich
      Pages 225-234
    9. Linyuan Lu, Austin Mohr, László Székely
      Pages 243-258
    10. Irina Mitrea, Marius Mitrea, Elia Ziadé
      Pages 259-286
    11. Fedor Nazarov, Michael Wilson
      Pages 287-302
    12. Alexander Petukhov, Inna Kozlov
      Pages 317-326
    13. Dmitry Ryabogin, Vlad Yaskin, Artem Zvavitch
      Pages 327-337
    14. Alexander M. Stokolos, Walter Trebels
      Pages 339-355
    15. Daniel Waterman
      Pages 385-394

About these proceedings


Recent Advances in Harmonic Analysis and Applications is dedicated to the 65th birthday of Konstantin Oskolkov and features contributions from analysts around the world.


The volume contains expository articles by leading experts in their fields, as well as selected high quality research papers that explore new results and trends in classical and computational harmonic analysis, approximation theory, combinatorics, convex analysis, differential equations, functional analysis, Fourier analysis, graph theory, orthogonal polynomials, special functions, and trigonometric series.


Numerous articles in the volume emphasize remarkable connections between harmonic analysis and other seemingly unrelated areas of mathematics, such as the interaction between abstract problems in additive number theory, Fourier analysis, and experimentally discovered optical phenomena in physics. Survey and research articles provide an up-to-date account of various vital directions of modern analysis and will in particular be of interest to young researchers who are just starting their career. This book will also be useful to experts in analysis, discrete mathematics, physics, signal processing, and other areas of science.


Approximation Theory Compressive Sensing Harmonic Orthogonal Polynomials Sparse Representation Trigonometric Series

Editors and affiliations

  • Dmitriy Bilyk
    • 1
  • Laura De Carli
    • 2
  • Alexander Petukhov
    • 3
  • Alexander M. Stokolos
    • 4
  • Brett D. Wick
    • 5
  1. 1., Department of MathematicsUniversity of South CarolinaColumbiaUSA
  2. 2.University Park, Department of MathematicsFlorida International UniversityMiamiUSA
  3. 3., Department of MathematicsUniverstity of GeorgiaAthensUSA
  4. 4.Georgia Southern UniversityStatesboroUSA
  5. 5., Department of MathematicsGeorgia Institute of TechnologyAtlantaUSA

Bibliographic information