Overview
- 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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Table of contents (29 papers)
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Front Matter
Keywords
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.
Editors and Affiliations
Bibliographic Information
Book Title: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
Editors: Wolfgang Arendt, Ralph Chill, Yuri Tomilov
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-319-18494-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-18493-7Published: 11 December 2015
Softcover ISBN: 978-3-319-79252-1Published: 13 March 2019
eBook ISBN: 978-3-319-18494-4Published: 10 December 2015
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: IX, 496
Number of Illustrations: 3 b/w illustrations, 2 illustrations in colour
Topics: Partial Differential Equations, Operator Theory, Mathematical Applications in the Physical Sciences, Functional Analysis