Markus Stroppel's Books

Locally Compact Groups

By: Markus Stroppel

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Locally compact groups play an important role in many areas of mathematics as well as in physics. The class of locally compact groups admits a strong structure theory, which allows to reduce many problems to groups constructed in various ways from the additive group of real numbers, the classical linear groups and from finite groups. The book gives a systematic and detailed introduction to the highlights of that theory. In the beginning, a review of fundamental tools from topology and the elementary theory of topological groups and transformation groups is presented. Completions, Haar integral, applications to linear representations culminating in the Peter-Weyl Theorem are treated. Pontryagin duality for locally compact Abelian groups forms a central topic of the book. Applications are given, including results about the structure of locally compact Abelian groups, and a structure theory for locally compact rings leading to the classification of locally compact fields. Topological semigroups are discussed in a separate chapter, with special attention to their relations to groups. The last chapter reviews results related to Hilbert's Fifth Problem, with the focus on structural results for non-Abelian connected locally compact groups that can be derived using approximation by Lie groups. The book is self-contained and is addressed to advanced undergraduate or graduate students in mathematics or physics. It can be used for one-semester courses on topological groups, on locally compact Abelian groups, or on topological algebra. Suggestions on course design are given in the preface. Each chapter is accompanied by a set of exercises that have been tested in classes.

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Page Count

320

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190167

ISBN 13

9783037190166

Compact Projective Planes

With an Introduction to Octonion Geometry

By: Helmut Salzmann,Dieter Betten,Theo Grundhöfer,Hermann Hähl,Rainer Löwen,Markus Stroppel

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Compact Projective Planes

With an Introduction to Octonion Geometry

By: Helmut Salzmann,Dieter Betten,Theo Grundhöfer,Hermann Hähl,Rainer Löwen,Markus Stroppel

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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Page Count

705

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110876833

ISBN 13

9783110876833

Lévy Matters IV

Estimation for Discretely Observed Lévy Processes

By: Denis Belomestny,Fabienne Comte,Valentine Genon-Catalot,Hiroki Masuda,Markus Reiß

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Lévy Matters IV

Estimation for Discretely Observed Lévy Processes

By: Denis Belomestny,Fabienne Comte,Valentine Genon-Catalot,Hiroki Masuda,Markus Reiß

The aim of this volume is to provide an extensive account of the most recent advances in statistics for discretely observed Lévy processes. These days, statistics for stochastic processes is a lively topic, driven by the needs of various fields of application, such as finance, the biosciences, and telecommunication. The three chapters of this volume are completely dedicated to the estimation of Lévy processes, and are written by experts in the field. The first chapter by Denis Belomestny and Markus Reiß treats the low frequency situation, and estimation methods are based on the empirical characteristic function. The second chapter by Fabienne Comte and Valery Genon-Catalon is dedicated to non-parametric estimation mainly covering the high-frequency data case. A distinctive feature of this part is the construction of adaptive estimators, based on deconvolution or projection or kernel methods. The last chapter by Hiroki Masuda considers the parametric situation. The chapters cover the main aspects of the estimation of discretely observed Lévy processes, when the observation scheme is regular, from an up-to-date viewpoint.

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Page Count

303

Publisher

Springer

Published Date

ISBN 10

3319123734

ISBN 13

9783319123738

Locally Compact Groups

By: Markus Stroppel

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Locally Compact Groups

By: Markus Stroppel

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Solve jigsaw puzzle

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Page Count

320

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190167

ISBN 13

9783037190166

Compact Projective Planes

With an Introduction to Octonion Geometry

By: Helmut Salzmann,Dieter Betten,Theo Grundhöfer,Hermann Hähl,Rainer Löwen,Markus Stroppel

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Compact Projective Planes

With an Introduction to Octonion Geometry

By: Helmut Salzmann,Dieter Betten,Theo Grundhöfer,Hermann Hähl,Rainer Löwen,Markus Stroppel

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Solve jigsaw puzzle

Age

Page Count

705

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110876833

ISBN 13

9783110876833

Book's by Markus Stroppel

Locally Compact Groups

Locally Compact Groups

Compact Projective Planes

Compact Projective Planes

Lévy Matters IV

Lévy Matters IV

Locally Compact Groups

Locally Compact Groups

Compact Projective Planes

Compact Projective Planes

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