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  • Conference proceedings
  • © 2015

Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics

Birkhäuser

Editors:

(view affiliations)
  • Presents the synthesis of harmonic and complex analysis and semigroup theory with applications in mathematical physics

  • Emphasizes the interaction of operator semigroups with other areas of analysis

  • Includes high-level research articles as well as surveys

  • Features a rich variety of analysis topics

  • Provides interesting material for mathematicians at any level, from beginners to established professionals

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

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  • ISBN: 978-3-319-18494-4
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Table of contents (29 papers)

  1. Front Matter

    Pages i-ix
  2. Polynomial Internal and External Stability of Well-posed Linear Systems

    • El Mustapha Ait Benhassi, Said Boulite, Lahcen Maniar, Roland Schnaubelt
    Pages 1-16
  3. Minimal Primal Ideals in the Multiplier Algebra of a C 0(X)-algebra

    • R. J. Archbold, D. W. B. Somerset
    Pages 17-29
  4. Maximal Regularity in Interpolation Spaces for Second-order Cauchy Problems

    • Charles J. K. Batty, Ralph Chill, Sachi Srivastava
    Pages 49-66
  5. Stability of Quantum Dynamical Semigroups

    • B. V. Rajarama Bhat, Sachi Srivastava
    Pages 67-85
  6. Multiscale Unique Continuation Properties of Eigenfunctions

    • Denis Borisov, Ivica Nakić, Christian Rose, Martin Tautenhahn, Ivan Veselić
    Pages 107-118
  7. Dichotomy Results for Norm Estimates in Operator Semigroups

    • I. Chalendar, J. Esterle, J. R. Partington
    Pages 119-131
  8. Convergence of the Dirichlet-to-Neumann Operator on Varying Domains

    • A. F. M. ter Elst, E. M. Ouhabaz
    Pages 147-154
  9. Some Operator Bounds Employing Complex Interpolation Revisited

    • Fritz Gesztesy, Yuri Latushkin, Fedor Sukochev, Yuri Tomilov
    Pages 213-239
  10. Generation of Subordinated Holomorphic Semigroups via Yosida’s Theorem

    • Alexander Gomilko, Yuri Tomilov
    Pages 253-271
  11. A Quantitative Coulhon–Lamberton Theorem

    • Tuomas P. Hytönen
    Pages 273-279
  12. An Analytic Family of Contractions Generated by the Volterra Operator

    • L. Khadkhuu, D. Tsedenbayar, J. Zemánek
    Pages 281-285
  13. Lattice Dilations of Bistochastic Semigroups

    • Leonard J. Konrad
    Pages 287-296

About this book

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
  • partial differential equations

Editors and Affiliations

  • Institute of Applied Analysis, Ulm University, Ulm, Germany

    Wolfgang Arendt

  • Institute of Analysis, TU Dresden, Dresden, Germany

    Ralph Chill

  • Polish Academy of Sciences, Institute of Mathematics, Warsaw, Poland

    Yuri Tomilov

Bibliographic Information

Buying options

eBook
USD 129.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-18494-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 169.99
Price excludes VAT (USA)
Hardcover Book
USD 199.99
Price excludes VAT (USA)