3 edition of **Geometric analysis on symmetric spaces** found in the catalog.

Geometric analysis on symmetric spaces

Sigurdur Helgason

- 278 Want to read
- 34 Currently reading

Published
**1994**
by American Mathematical Society in Providence, R.I
.

Written in English

- Symmetric spaces.

**Edition Notes**

Includes bibliographical references (p. 581-601) and index.

Statement | Sigurdur Helgason. |

Series | Mathematical surveys and monographs -- v. 39 |

Classifications | |
---|---|

LC Classifications | QA649 |

The Physical Object | |

Pagination | xiv, 611 p. : |

Number of Pages | 611 |

ID Numbers | |

Open Library | OL22312322M |

ISBN 10 | 0821815385 |

The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 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.

From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry,e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. The papers in this collection should help to better define the notion of geometric analysis by illustrating emerging trends in the subject. The topics covered range over a broad spectrum: integral geometry, Radon transforms, geometric inequalities, microlocal analysis, harmonic analysis, analysis on Lie groups and symmetric spaces, and more.

The aim of this graduate-level text is to equip the reader with the basic tools and techniques needed for research in various areas of geometric analysis. Throughout, the main theme is to present the interaction of partial differential equations and differential geometry. The sequels to the present book are published in the "AMS' Mathematical Surveys and Monographs Series": "Groups and Geometric Analysis, Volume 83", and "Geometric Analysis on Symmetric Spaces, Volume 39". Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis/5(4).

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The book under review, Geometric Analysis on Symmetric Spaces, published by the AMS, is the second edition of the original, and is one of a quartette of seminal texts by this author, the other three being Differential Geometry, Lie Groups, and Symmetric Spaces (AMS, ), Groups and Geometric Analysis (AMS, ) these two books Cited by: Get this from a library.

Geometric analysis on symmetric spaces. [Sigurdur Helgason] -- "This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. The book starts with modern. This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups.

The book starts with modern integral geometry for double fibrations and treats several examples in detail. The sequels to the present book are published in the AMS's Mathematical Surveys and Monographs Series: Groups and Geometric Analysis, Vol and Geometric Analysis on Symmetric Spaces, Volume Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric by: Download Geometric Analysis on Symmetric Spaces, Second Edition book pdf free download link or read online here in PDF.

Read online Geometric Analysis on Symmetric Spaces, Second Edition book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. Geometric analysis on symmetric spaces. [Sigurdur Helgason] This work is devoted to geometric analysis on noncompact Riemannian spaces.

The exposition in this book is accessible to readers with modest background in semisimple Lie group theory. Geometric analysis on symmetric spaces | Helgason S.

| download | B–OK. Download books for free. Find books. The book under review, Geometric Analysis on Symmetric Spaces, published by the AMS, is the second edition of the original, and is one of a quartette of seminal texts by this author, the other three being Differential Geometry, Lie Groups, and Symmetric Spaces (AMS, ), Groups and Geometric Analysis (AMS, ) — these two books.

Geometric analysis on symmetric spaces / Sigurdur Helgason. — 2nd ed. — (Mathematical surveys and monographs, ISSN ; v. 39) Includes bibliographical references and index. ISBN (alk. paper) 1. Symmetric spaces.

Title. QAH43 /62—dc22 Copying and reprinting. “For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis.

Geometric Analysis on Symmetric Spaces, Second edition About this Title. Sigurdur Helgason, Massachusetts Institute of Technology, Cambridge, MA. Publication: Mathematical Surveys and Monographs Publication Year Volume 39 ISBNs:. Geometric analysis on symmetric spaces, 2d ed.

Helgason, Sigurdur. American Mathematical Society pages $ Hardcover Mathematical surveys and monographs; v QA This book gives an account of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups.

Sigurdur Helgason's ""Differential Geometry and Symmetric Spaces"" was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces.

Several generations of mathematicians relied on it for its clarity and careful attention to detail. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been—and continues to be—the standard source for this material.

The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially.

Geometric Analysis on Symmetric Spaces: Second Edition Sigurdur Helgason Publication Year: ISBN ISBN From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis.

With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome." Chapter 6 Symmetric Spaces and Kähler Manifolds. Pages Jost, : Springer-Verlag Berlin Heidelberg. I recently reviewed a book entitled Geometric Analysis on Symmetric Spaces.

I stated in that review that the book “is a model of fine scholarship and must rank as a definitive source for the indicated material.” Of course the author of the book was Sigurdur. The approach is based on two novel algebraic structures on symmetric positive‐definite matrices: first, a lie group structure which is compatible with the usual algebraic properties of this matrix space; second, a new scalar multiplication that smoothly extends the Lie group structure into a vector space by: InProfessor Helgason received the AMS Leroy P.

Steele Prize for Seminal Contributions, "for his books Differential Geometry, Lie Groups and Symmetric Spaces, and Groups and Geometric Analysis." These were followed by the book "Geometric Analysis on Symmetric Spaces". The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory.For this latest edition, Helgason has made corrections and added helpful notes and useful references.

The sequels to the present book are published in the AMS's Mathematical Surveys and Monographs Series: Groups and Geometric Analysis, Vol and /5(4).Geometric functional analysis thus bridges three areas { functional analysis, convex geometry and probability theory. The course is a systematic introduction to the main techniques and results of geometric functional analysis.

1. Preliminaries on Banach spaces and linear operators We begin by brie y recalling some basic notions of functional.