Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics

  • Wolfgang Arendt
  • Ralph Chill
  • Yuri Tomilov

Part of the Operator Theory: Advances and Applications book series (OT, volume 250)

Table of contents

  1. Front Matter
    Pages i-ix
  2. El Mustapha Ait Benhassi, Said Boulite, Lahcen Maniar, Roland Schnaubelt
    Pages 1-16
  3. R. J. Archbold, D. W. B. Somerset
    Pages 17-29
  4. Charles J. K. Batty, Ralph Chill, Sachi Srivastava
    Pages 49-66
  5. B. V. Rajarama Bhat, Sachi Srivastava
    Pages 67-85
  6. Denis Borisov, Ivica Nakić, Christian Rose, Martin Tautenhahn, Ivan Veselić
    Pages 107-118
  7. I. Chalendar, J. Esterle, J. R. Partington
    Pages 119-131
  8. A. F. M. ter Elst, E. M. Ouhabaz
    Pages 147-154
  9. Fritz Gesztesy, Yuri Latushkin, Fedor Sukochev, Yuri Tomilov
    Pages 213-239
  10. Alexander Gomilko, Yuri Tomilov
    Pages 253-271
  11. Tuomas P. Hytönen
    Pages 273-279
  12. L. Khadkhuu, D. Tsedenbayar, J. Zemánek
    Pages 281-285
  13. Leonard J. Konrad
    Pages 287-296

About these proceedings

Introduction

This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor.

The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event.

They will be a valuable and inspiring source of information for graduate students and established researchers.

Keywords

Banach and C*-algebras applications to partial differential equations asymptotics of evolution equations functional calculus maximal regularity

Editors and affiliations

  • Wolfgang Arendt
    • 1
  • Ralph Chill
    • 2
  • Yuri Tomilov
    • 3
  1. 1.Institute of Applied AnalysisUlm UniversityUlmGermany
  2. 2.Institute of AnalysisTU DresdenDresdenGermany
  3. 3.Polish Academy of SciencesInstitute of MathematicsWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-18494-4
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-18493-7
  • Online ISBN 978-3-319-18494-4
  • Series Print ISSN 0255-0156
  • Series Online ISSN 2296-4878
  • About this book