Holomorphy And Convexity In Lie Theory

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Holomorphy and Convexity in Lie Theory

Author : Karl-Hermann Neeb
Publisher : Walter de Gruyter
ISBN 13 : 3110808145
Total Pages : 804 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Holomorphy and Convexity in Lie Theory by : Karl-Hermann Neeb

Download or read book Holomorphy and Convexity in Lie Theory written by Karl-Hermann Neeb and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Positivity in Lie Theory

Author : Joachim Hilgert
Publisher : Walter de Gruyter
ISBN 13 : 3110811189
Total Pages : 305 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Positivity in Lie Theory by : Joachim Hilgert

Download or read book Positivity in Lie Theory written by Joachim Hilgert and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)

Extension of Holomorphic Functions

Author : Marek Jarnicki
Publisher : Walter de Gruyter
ISBN 13 : 3110809788
Total Pages : 501 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Extension of Holomorphic Functions by : Marek Jarnicki

Download or read book Extension of Holomorphic Functions written by Marek Jarnicki and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, 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 interested in a thorough study of the subject. 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, 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)

Positivity in Lie Theory

Author : Joachim Hilgert
Publisher : Walter de Gruyter
ISBN 13 : 9783110161120
Total Pages : 312 pages
Book Rating : 4.1/5 (611 download)

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Book Synopsis Positivity in Lie Theory by : Joachim Hilgert

Download or read book Positivity in Lie Theory written by Joachim Hilgert and published by Walter de Gruyter. This book was released on 1998 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets out a series of problems to demonstrate to newcomers to Lie theory how notions of positivity in it occur in quite diverse settings, vary widely both in nature and application, and are approached from quite divergent mathematical viewpoints. Each of the 15 chapters (one in French) addresses a specific problem or a circle of problems at a level apprehendable by a graduate student with a sound knowledge of basic Lie theory. The emphasis is on smaller problems that might serve as guidelines to the main problems. Among the topics are exponential functions, invariant cones in real representations, total positivity, discrete series and analyticity, harmonic analysis on causal symmetric spaces, and linear algebraic monoids. A web site has been established to disseminate solutions to any of the problems. Annotation copyrighted by Book News, Inc., Portland, OR

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Author : Ali Baklouti
Publisher : Springer Nature
ISBN 13 : 3030783464
Total Pages : 268 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Geometric and Harmonic Analysis on Homogeneous Spaces and Applications by : Ali Baklouti

Download or read book Geometric and Harmonic Analysis on Homogeneous Spaces and Applications written by Ali Baklouti and published by Springer Nature. This book was released on 2021-10-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics. All the authors participated in the 6th Tunisian-Japanese conference "Geometric and Harmonic Analysis on homogeneous spaces and Applications" held at Djerba Island in Tunisia during the period of December 16-19, 2019. The aim of this conference and the five preceding Tunisian-Japanese meetings was to keep up with the active development of representation theory interrelated with various other mathematical fields, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations, and mathematical physics. The present volume is dedicated to the memory of Takaaki Nomura, who organized the series of Tunisian-Japanese conferences with great effort and enthusiasm. The book is a valuable resource for researchers and students working in various areas of analysis, geometry, and algebra in connection with representation theory.

Lie Groups, Convex Cones, and Semigroups

Author : Joachim Hilgert
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Lie Groups, Convex Cones, and Semigroups by : Joachim Hilgert

Download or read book Lie Groups, Convex Cones, and Semigroups written by Joachim Hilgert and published by Oxford University Press, USA. This book was released on 1989 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first and only reference to provide a comprehensive treatment of the Lie theory of subsemigroups of Lie groups. The book is uniquely accessible and requires little specialized knowledge. It includes information on the infinitesimal theory of Lie subsemigroups, and a characterization of those cones in a Lie algebra which are invariant under the action of the group of inner automporphisms. It provides full treatment of the local Lie theory for semigroups, and finally, gives the reader a useful account of the global theory for the existence of subsemigroups with a given set of infinitesimal generators.

Bulletin (new Series) of the American Mathematical Society

Author :
Publisher :
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Bulletin (new Series) of the American Mathematical Society by :

Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 2002 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Journal of Lie Theory

Author :
Publisher :
ISBN 13 :
Total Pages : 644 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Journal of Lie Theory by :

Download or read book Journal of Lie Theory written by and published by . This book was released on 2002 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin of the American Mathematical Society

Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society

Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2002 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1804 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Advances in Lie Theory

Author : Ignacio Bajo
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Recent Advances in Lie Theory by : Ignacio Bajo

Download or read book Recent Advances in Lie Theory written by Ignacio Bajo and published by . This book was released on 2002 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Annales de l'Institut Fourier

Author :
Publisher :
ISBN 13 :
Total Pages : 940 pages
Book Rating : 4.:/5 (312 download)

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Book Synopsis Annales de l'Institut Fourier by :

Download or read book Annales de l'Institut Fourier written by and published by . This book was released on 2014 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups in Algebra, Geometry and Analysis

Author : Karl H. Hofmann
Publisher : Walter de Gruyter
ISBN 13 : 3110885581
Total Pages : 385 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Semigroups in Algebra, Geometry and Analysis by : Karl H. Hofmann

Download or read book Semigroups in Algebra, Geometry and Analysis written by Karl H. Hofmann and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)

Lie Semigroups and their Applications

Author : Joachim Hilgert
Publisher : Springer
ISBN 13 : 3540699872
Total Pages : 327 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Lie Semigroups and their Applications by : Joachim Hilgert

Download or read book Lie Semigroups and their Applications written by Joachim Hilgert and published by Springer. This book was released on 2006-11-15 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book. It covers basic Lie theory for such semigroups and some closely related topics. These include ordered homogeneous manifolds, where the order is defined by a field of cones, invariant cones in Lie algebras and associated Ol'shanskii semigroups. Applications to representation theory, symplectic geometry and Hardy spaces are also given. The book is written as an efficient guide for those interested in subsemigroups of Lie groups and their applications in various fields of mathematics (see the User's guide at the end of the Introduction). Since it is essentially self-contained and leads directly to the core of the theory, the first part of the book can also serve as an introduction to the subject. The reader is merely expected to be familiar with the basic theory of Lie groups and Lie algebras.

Geometry and Analysis on Finite- and Infinite-dimensional Lie Groups

Author : Aleksander Strasburger
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Geometry and Analysis on Finite- and Infinite-dimensional Lie Groups by : Aleksander Strasburger

Download or read book Geometry and Analysis on Finite- and Infinite-dimensional Lie Groups written by Aleksander Strasburger and published by . This book was released on 2002 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis on Infinite Dimensional Spaces

Author : Sean Dineen
Publisher : Springer Science & Business Media
ISBN 13 : 1447108698
Total Pages : 553 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Complex Analysis on Infinite Dimensional Spaces by : Sean Dineen

Download or read book Complex Analysis on Infinite Dimensional Spaces written by Sean Dineen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite dimensional holomorphy is the study of holomorphic or analytic func tions over complex topological vector spaces. The terms in this description are easily stated and explained and allow the subject to project itself ini tially, and innocently, as a compact theory with well defined boundaries. However, a comprehensive study would include delving into, and interacting with, not only the obvious topics of topology, several complex variables theory and functional analysis but also, differential geometry, Jordan algebras, Lie groups, operator theory, logic, differential equations and fixed point theory. This diversity leads to a dynamic synthesis of ideas and to an appreciation of a remarkable feature of mathematics - its unity. Unity requires synthesis while synthesis leads to unity. It is necessary to stand back every so often, to take an overall look at one's subject and ask "How has it developed over the last ten, twenty, fifty years? Where is it going? What am I doing?" I was asking these questions during the spring of 1993 as I prepared a short course to be given at Universidade Federal do Rio de Janeiro during the following July. The abundance of suit able material made the selection of topics difficult. For some time I hesitated between two very different aspects of infinite dimensional holomorphy, the geometric-algebraic theory associated with bounded symmetric domains and Jordan triple systems and the topological theory which forms the subject of the present book.

Contributions to Analysis

Author : Lars V. Ahlfors
Publisher : Academic Press
ISBN 13 : 1483261166
Total Pages : 460 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Contributions to Analysis by : Lars V. Ahlfors

Download or read book Contributions to Analysis written by Lars V. Ahlfors and published by Academic Press. This book was released on 2014-05-10 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributions to Analysis: A Collection of Papers Dedicated to Lipman Bers is a compendium of papers provided by Bers, friends, students, colleagues, and professors. These papers deal with Teichmuller spaces, Kleinian groups, theta functions, algebraic geometry. Other papers discuss quasiconformal mappings, function theory, differential equations, and differential topology. One paper discusses the results of the rigidity theorem of Mostow and its generalization by Marden in relation to geometric properties of Kleinian groups of the first kind. These results, obtained by planar methods, are presented in terms of the hyperbolic 3-space language, which is a natural pedestal in approaching the action of the Kleinian groups. Another paper reviews Riemann's vanishing theorem which solves the Jacobi inversion problem, by relating the vanishing properties of the theta function (particularly at half periods) to properties of certain linear series on the Riemann surface. One paper examines the problem of obtaining relations among the periods of the differentials of first kind on a compact Riemann surface. An application of a computer program involves supersonic transport. The program is based on the hodograph transformation and a method of complex characteristics to calculate profiles that are shock-less at a specified angle of attack, or at a specified subsonic free-stream Mach number. The collection can prove useful for engineers, statisticians, students, and professors in advance mathematics or courses related to aeronautics.