Due 2019-03-18
XIV, 228 p.
Hardcover
ISBN 978-3-030-07643-6
Mathematics : Ordinary Differential Equations
First book on the theoretical foundations of modeling real-world phenomena
by a set of differential equations
Focusses on differential equations with uncertainty
Written for the experts working in the eld of qualitative analysis of dierential
and other types of equations
The book discusses set-valued differential equations defined in terms of the Hukuhara
derivative. Focusing on equations with uncertainty, i.e., including an unknown parameter, it
introduces a regularlization method to handle them. The main tools for qualitative analysis are
the principle of comparison ofChaplygin ? Wazhewsky, developed for the scalar, vector and
matrix-valued Lyapunov functions and the method of nonlinear integral inequalities,which are
used to establish existence, stability or boundedness. Driven by the question of how to model
real processes using aset-valuedof differential equations, the book lays the theoretical
foundations for further study in this area. It is intended for experts working in theeld of
qualitative analysis of differential and other types of equations.
Due 2019-04-01
Approx. 210 p.
Hardcover
ISBN 978-3-030-05167-9
Series :Trends in Mathematics
Mathematics : Partial Differential Equations
Contains research papers presented in a special session at the 11th ISAAC
Congress held at Linnaeus University in Sweden
Presents two chapters about operators on Lie groups and manifolds with edge
Provides guidance for future research in pseudo-differential operators and
related topics
This volume, like its predecessors, is based on the special session on pseudo-differential
operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus
University in Sweden on August 14-18, 2017. It includes research papers presented at the
sessionand invited papersby experts in fields that involve pseudo-differential operators. The first
four chapters focus on the functional analysis of pseudo-differential operators on a spectrum
of settings from Z to Rnto compact groups. Chapters 5 and 6 discuss operators on Lie groups
and manifolds with edge, while the following two chapters cover topics related to probabilities.
The final chapters then address topics in differential equations.
Due 2019-07-14
1st ed. 2019, Approx. 500 p.
Hardcover
ISBN 978-3-030-10849-6
Series ;Trends in Mathematics
Mathematics : Functional Analysis
Festschrift in Honour of Ben de Pagter on the Occasion of his 65th
Birthday
Shows the natural parallels and connections between the fields of positivity
and noncommutative analysis
Informs about the current state in this fields
This volume is dedicated to Ben de Pagter in order of his 65th birthday
Capturing the state of the art of the interplay between positivity, noncommutative analysis, and
related areas including partial differential equations, harmonic analysis, and operator theory,
this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's
65th birthday. It will be of interest to researchers in positivity, noncommutative analysis, and
related fields. Contributions by Bekhzod Aminov, Shavkat Ayupov, Amine Ben Amor, Karim
Boulabiar, Qingying Bu, Gerard Buskes, Martijn Caspers, Vladimir Chilin, Jurie Conradie, Garth
Dales, Marcel de Jeu, Peter Dodds, Theresa Dodds, Julio Flores, Jochen Gluck, Jacobus Grobler,
Wolter Groenevelt, Markus Haase, Klaas Pieter Hart, Francisco Hernandez, Jamel Jaber, Rien
Kaashoek, Turabay Kalandarov, Anke Kalauch, Arkady Kitover, Erik Koelink, Karimbergen
Kudaybergenov, Louis Labuschagne, Yongjin Li, Nick Lindemulder, Emiel Lorist, Qi Lu, Miek
Messerschmidt, Susumu Okada, Mehmet Orhon, Denis Potapov, Werner Ricker, Stephan Roberts,
Pablo Roman, Anton Schep, Claud Steyn, Fedor Sukochev, James Sweeney, Guido Sweers, Pedro
Tradacete, Jan Harm van der Walt, Onno van Gaans, Jan van Neerven, Arnoud van Rooij, Freek
van Schagen, Dominic Vella, Mark Veraar, Anthony Wickstead, Marten Wortel, Ivan Yaroslavtsev
and Dmitriy Zanin.
Due 2019-07-14
1st ed. 2019, Approx. 250 p.
Printed book
Hardcover
ISBN 978-3-030-05019-1
Mathematics : Functional Analysis
Explores, as a first book, the numerical range of holomorphic mappings
Presents in detail applications of the numerical range to solutions of diverse
geometrical and analytic problems
Includes a survey of the theory of semigroups of linear operators including
the Hille-Yosida and the Lumer-Phillips theorems
This book describes recent developments as well as some classical results regarding
holomorphic mappings. The book starts with a brief survey of the theory of semigroups of
linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical
range and the spectrum of closed densely defined linear operators are then discussed in more
detail and an overview of ergodic theory presented. The analytic extension of semigroups of
linear operators is also discussed. The recent study of the numerical range of composition
operators on the unit disk is mentioned. Then, the basic notions and facts in infinite
dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented,
L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the
main properties of the so-called quasi-dissipative mappings and their growth estimates are
studied. In addition, geometric and quantitative analytic aspects of fixed point theory are
discussed. A special chapter is devoted to applications of the numerical range to diverse
geometric and analytic problems.
2018, XII, 115 p. 26 illus.
Hardcover
ISBN 978-981-13-3091-9
Series Springer Theses
Physics : Quantum Field Theories, String Theory
Compactifications
Nominated as an outstanding Ph.D thesis by the University of Tokyo, Tokyo,
Japan
Reviews the general six-dimensional (6d) superconformal field theory
Highlights the M-theory brane construction
This thesis describes the structures of six-dimensional (6d) superconformal field theories and
its torus compactifications. The first half summarizes various aspects of 6d field theories, while
the latter half investigates torus compactifications of these theories, and relates them to fourdimensional
superconformal field theories in the class, called class S. It is known that
compactifications of 6d conformal field theories with maximal supersymmetries provide
numerous insights into four-dimensional superconformal field theories. This thesis generalizes
the story to the theories with smaller supersymmetry, constructing those six-dimensional
theories as brane configurations in the M-theory, and highlighting the importance of
fractionalization of M5-branes. This result establishes new dualities between the theories with
eight supercharges.