Realization Of Hermitian Symmetric Spaces As Tube Domains

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Selected Works of Ilya Piatetski-Shapiro

Author : Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro
Publisher : American Mathematical Soc.
ISBN 13 : 9780821809303
Total Pages : 860 pages
Book Rating : 4.8/5 (93 download)

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Book Synopsis Selected Works of Ilya Piatetski-Shapiro by : Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro

Download or read book Selected Works of Ilya Piatetski-Shapiro written by Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro and published by American Mathematical Soc.. This book was released on 2000 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.

Selected Works of Ilya Piatetski-Shapiro

Author : James Cogdell
Publisher : American Mathematical Society
ISBN 13 : 1470454947
Total Pages : 852 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Selected Works of Ilya Piatetski-Shapiro by : James Cogdell

Download or read book Selected Works of Ilya Piatetski-Shapiro written by James Cogdell and published by American Mathematical Society. This book was released on 2022-11-03 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.

Lie Theory And Its Applications In Physics Iii - Proceedings Of The Third International Workshop

Author : Vladimir K Dobrev
Publisher : World Scientific
ISBN 13 : 9814542768
Total Pages : 330 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Lie Theory And Its Applications In Physics Iii - Proceedings Of The Third International Workshop by : Vladimir K Dobrev

Download or read book Lie Theory And Its Applications In Physics Iii - Proceedings Of The Third International Workshop written by Vladimir K Dobrev and published by World Scientific. This book was released on 2000-09-29 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive treatise on the theory and applications of moment functions in image analysis. Moment functions are widely used in various realms of computer vision and image processing. Numerous algorithms and techniques have been developed using image moments, in the areas of pattern recognition, object identification, three-dimensional object pose estimation, robot sensing, image coding and reconstruction. This book provides a compilation of the theoretical aspects related to different types of moment functions, and their applications in the above areas.The book is organized into two parts. The first part discusses the fundamental concepts behind important moments such as geometric moments, complex moments, Legendre moments, Zernike moments, and moment tensors. Most of the commonly used properties of moment functions and the mathematical framework for the derivation of basic theorems and results are discussed in detail. This includes the derivation of moment invariants, implementation aspects of moments, transform properties, and fast methods for computing the moment functions for both binary and gray-level images. The second part presents the key application areas of moments such as pattern recognition, object identification, image-based pose estimation, edge detection, clustering, segmentation, coding and reconstruction. Important algorithms in each of these areas are discussed. A comprehensive list of bibliographical references on image moments is also included.

Symplectic and Contact Topology

Author : Y. Eliashberg
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871416
Total Pages : 220 pages
Book Rating : 4.8/5 (714 download)

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Book Synopsis Symplectic and Contact Topology by : Y. Eliashberg

Download or read book Symplectic and Contact Topology written by Y. Eliashberg and published by American Mathematical Soc.. This book was released on 2003-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume are written by participants of the ''Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory'' symposium. The workshop was part of a semester-long joint venture of The Fields Institute in Toronto and the Centre de Recherches Mathematiques in Montreal. The twelve papers cover the following topics: Symplectic Topology, the interaction between symplectic and other geometric structures, and Differential Geometry and Topology. The Proceeding concludes with two papers that have a more algebraic character. One is related to the program of Homological Mirror Symmetry: the author defines a category of extended complex manifolds and studies its properties. The subject of the final paper is Non-commutative Symplectic Geometry, in particular the structure of the symplectomorphism group of a non-commutative complex plane. The in-depth articles make this book a useful reference for graduate students as well as research mathematicians.

Symmetries in Complex Analysis

Author : Bruce Gilligan
Publisher : American Mathematical Soc.
ISBN 13 : 0821844598
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symmetries in Complex Analysis by : Bruce Gilligan

Download or read book Symmetries in Complex Analysis written by Bruce Gilligan and published by American Mathematical Soc.. This book was released on 2008 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The theme of this volume concerns interactions between group actions and problems in complex analysis." "The first four articles deal with such topics as representation kernels in representation theory, complex automorphisms and holomorphic equivalence of domains, and geometric description of exceptional symmetric domains. The last article is devoted to Seiberg-Witten equations and Taubes correspondence on symplectic 4-manifolds."--BOOK JACKET.

Proceedings of the Conference on Complex Analysis

Author : A. Aeppli
Publisher : Springer Science & Business Media
ISBN 13 : 3642480160
Total Pages : 316 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Proceedings of the Conference on Complex Analysis by : A. Aeppli

Download or read book Proceedings of the Conference on Complex Analysis written by A. Aeppli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the articles contributed to the Minnesota Con ference on Complex Analysis (COCA). The Conference was held March 16-21, 1964, at the University of Minnesota, under the sponsorship of the U. S. Air Force Office of Scientific Research with thirty-one invited participants attending. Of these, nineteen presented their papers in person in the form of one-hour lectures. In addition, this volume con tains papers contributed by other attending participants as well as by participants who, after having planned to attend, were unable to do so. The list of particip ants, as well as the contributions to these Proceed ings, clearly do not represent a complete coverage of the activities in all fields of complex analysis. It is hoped, however, that these limitations stemming from the partly deliberate selections will allow a fairly com prehensive account of the current research in some of those areas of complex analysis that, in the editors' belief, have rapidly developed during the past decade and may remain as active in the foreseeable future as they are at the present time. In conclusion, the editors wish to thank, first of all, the participants and contributors to these Proceedings for their enthusiastic cooperation and encouragement. Our thanks are due also to the University of Min nesota, for offering the physical facilities for the Conference, and to Springer-Verlag for publishing these proceedings.

Theory of Complex Homogeneous Bounded Domains

Author : Yichao Xu
Publisher : Springer Science & Business Media
ISBN 13 : 140202133X
Total Pages : 438 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Theory of Complex Homogeneous Bounded Domains by : Yichao Xu

Download or read book Theory of Complex Homogeneous Bounded Domains written by Yichao Xu and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to systematically explore the classification and function theory of complex homogeneous bounded domains. The Siegel domains are discussed in detail, and proofs are presented. Using the normal Siegel domains to realize the homogeneous bounded domains, we can obtain more property of the geometry and the function theory on homogeneous bounded domains.

Exceptional Lie Algebras and the Structure of Hermitian Symmetric Spaces

Author : Daniel Drucker
Publisher : American Mathematical Soc.
ISBN 13 : 082182208X
Total Pages : 215 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Exceptional Lie Algebras and the Structure of Hermitian Symmetric Spaces by : Daniel Drucker

Download or read book Exceptional Lie Algebras and the Structure of Hermitian Symmetric Spaces written by Daniel Drucker and published by American Mathematical Soc.. This book was released on 1978 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explicitly determines the "orbit structure" of all irreducible hermitian symmetric (IHS) spaces in a unified way by means of Lie algebra calculations, using J. Tits' models of the Lie algebras [script]e6 and [script]e7 in the two "exceptional" cases. An introduction to the theory of hermitian symmetric spaces is included, along with an elementary exposition of the facts from nonassociative algebra needed to understand and use Tits' constructions of all the complex exceptional simple Lie algebras and their real forms

Compactifications of Symmetric and Locally Symmetric Spaces

Author : Armand Borel
Publisher : Springer Science & Business Media
ISBN 13 : 0817644660
Total Pages : 477 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Compactifications of Symmetric and Locally Symmetric Spaces by : Armand Borel

Download or read book Compactifications of Symmetric and Locally Symmetric Spaces written by Armand Borel and published by Springer Science & Business Media. This book was released on 2006-07-25 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology

Bulletin (new Series) of the American Mathematical Society

Author :
Publisher :
ISBN 13 :
Total Pages : 400 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 1998 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Causal Symmetric Spaces

Author : Gestur Olafsson
Publisher : Academic Press
ISBN 13 : 0080528724
Total Pages : 303 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Causal Symmetric Spaces by : Gestur Olafsson

Download or read book Causal Symmetric Spaces written by Gestur Olafsson and published by Academic Press. This book was released on 1996-09-11 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces.Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spacesDeals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fieldsPresents basic geometric properties of semi-simple symmetric spacesIncludes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces

Geometry of Homogeneous Bounded Domains

Author : E. Vesentini
Publisher : Springer Science & Business Media
ISBN 13 : 3642110606
Total Pages : 297 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Geometry of Homogeneous Bounded Domains by : E. Vesentini

Download or read book Geometry of Homogeneous Bounded Domains written by E. Vesentini and published by Springer Science & Business Media. This book was released on 2011-06-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: S.G. Gindikin, I.I. Pjateckii-Sapiro, E.B. Vinberg: Homogeneous Kähler manifolds.- S.G. Greenfield: Extendibility properties of real submanifolds of Cn.- W. Kaup: Holomorphische Abbildungen in Hyperbolische Räume.- A. Koranyi: Holomorphic and harmonic functions on bounded symmetric domains.- J.L. Koszul: Formes harmoniques vectorielles sur les espaces localement symétriques.- S. Murakami: Plongements holomorphes de domaines symétriques.- E.M. Stein: The analogues of Fatous’s theorem and estimates for maximal functions.

Analysis and Geometry on Complex Homogeneous Domains

Author : Jacques Faraut
Publisher : Springer Science & Business Media
ISBN 13 : 1461213665
Total Pages : 539 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Analysis and Geometry on Complex Homogeneous Domains by : Jacques Faraut

Download or read book Analysis and Geometry on Complex Homogeneous Domains written by Jacques Faraut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: A number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials. The most basic type of domain examined is the bounded symmetric domain, originally described and classified by Cartan and Harish- Chandra. Two of the five parts of the text deal with these domains: one introduces the subject through the theory of semisimple Lie algebras (Koranyi), and the other through Jordan algebras and triple systems (Roos). Larger classes of domains and spaces are furnished by the pseudo-Hermitian symmetric spaces and related R-spaces. These classes are covered via a study of their geometry and a presentation and classification of their Lie algebraic theory (Kaneyuki). In the fourth part of the book, the heat kernels of the symmetric spaces belonging to the classical Lie groups are determined (Lu). Explicit computations are made for each case, giving precise results and complementing the more abstract and general methods presented. Also explored are recent developments in the field, in particular, the study of complex semigroups which generalize complex tube domains and function spaces on them (Faraut). This volume will be useful as a graduate text for students of Lie group theory with connections to complex analysis, or as a self-study resource for newcomers to the field. Readers will reach the frontiers of the subject in a considerably shorter time than with existing texts.

Lie Groups: Structure, Actions, and Representations

Author : Alan Huckleberry
Publisher : Springer Science & Business Media
ISBN 13 : 1461471931
Total Pages : 422 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Lie Groups: Structure, Actions, and Representations by : Alan Huckleberry

Download or read book Lie Groups: Structure, Actions, and Representations written by Alan Huckleberry and published by Springer Science & Business Media. This book was released on 2013-08-04 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. Oshima A. Andrada I. Pacharoni M. L. Barberis F. Ricci L. Barchini S. Rosenberg I. Dotti N. Shimeno M. Eastwood J. Tirao V. Fischer S. Treneer T. Kobayashi C.T.C. Wall A. Korányi D. Wallace B. Kostant K. Wiboonton P. Kostelec F. Xu K.-H. Neeb O. Yakimova G. Olafsson R. Zierau B. Ørsted

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)

Topics in Geometry

Author : Simon Gindikin
Publisher : Springer Science & Business Media
ISBN 13 : 9780817638283
Total Pages : 396 pages
Book Rating : 4.6/5 (382 download)

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Book Synopsis Topics in Geometry by : Simon Gindikin

Download or read book Topics in Geometry written by Simon Gindikin and published by Springer Science & Business Media. This book was released on 1996-06-27 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles serves to commemorate the legacy of Joseph D'Atri, who passed away on April 29, 1993, a few days after his 55th birthday. Joe D' Atri is credited with several fundamental discoveries in ge ometry. In the beginning of his mathematical career, Joe was interested in the generalization of symmetrical spaces in the E. Cart an sense. Symmetric spaces, differentiated from other homogeneous manifolds by their geomet rical richness, allows the development of a deep analysis. Geometers have been constantly interested and challenged by the problem of extending the class of symmetric spaces so as to preserve their geometrical and analytical abundance. The name of D'Atri is tied to one of the most successful gen eralizations: Riemann manifolds in which (local) geodesic symmetries are volume-preserving (up to sign). In time, it turned out that the majority of interesting generalizations of symmetrical spaces are D'Atri spaces: natu ral reductive homogeneous spaces, Riemann manifolds whose geodesics are orbits of one-parameter subgroups, etc. The central place in D'Atri's research is occupied by homogeneous bounded domains in en, which are not symmetric. Such domains were discovered by Piatetskii-Shapiro in 1959, and given Joe's strong interest in the generalization of symmetric spaces, it was very natural for him to direct his research along this path.

Advances in Geometry

Author : Jean-Luc Brylinski
Publisher : Springer Science & Business Media
ISBN 13 : 1461217709
Total Pages : 404 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advances in Geometry by : Jean-Luc Brylinski

Download or read book Advances in Geometry written by Jean-Luc Brylinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of the activities of the Center for Geometry and Mathematical Physics (CGMP) at Penn State from 1996 to 1998. The Center was created in the Mathematics Department at Penn State in the fall of 1996 for the purpose of promoting and supporting the activities of researchers and students in and around geometry and physics at the university. The CGMP brings many visitors to Penn State and has ties with other research groups; it organizes weekly seminars as well as annual workshops The book contains 17 contributed articles on current research topics in a variety of fields: symplectic geometry, quantization, quantum groups, algebraic geometry, algebraic groups and invariant theory, and character istic classes. Most of the 20 authors have talked at Penn State about their research. Their articles present new results or discuss interesting perspec tives on recent work. All the articles have been refereed in the regular fashion of excellent scientific journals. Symplectic geometry, quantization and quantum groups is one main theme of the book. Several authors study deformation quantization. As tashkevich generalizes Karabegov's deformation quantization of Kahler manifolds to symplectic manifolds admitting two transverse polarizations, and studies the moment map in the case of semisimple coadjoint orbits. Bieliavsky constructs an explicit star-product on holonomy reducible sym metric coadjoint orbits of a simple Lie group, and he shows how to con struct a star-representation which has interesting holomorphic properties.