Download or read book On Affine Symmetric Spaces written by S. S. Koh and published by . This book was released on 1964 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Generalized Symmetric Spaces written by O. Kowalski and published by Springer. This book was released on 2007-02-08 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Symmetric Spaces General theory written by Ottmar Loos and published by . This book was released on 1969 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Analysis on Non Riemannian Symmetric Spaces written by Mogens Flensted-Jensen and published by American Mathematical Soc.. This book was released on 1986-12-31 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic analysis on Riemannian semisimple symmetric spaces and on special types of non-Riemannian semisimple symmetric spaces are well-established theories. This book presents a systematic treatment of the basic problems on semisimple symmetric spaces and a discussion of some of the more important recent developments in the field. The author's primary contribution has been his idea of how to construct the discrete series for such a space. In this book a fundamental role is played by the ideas behind that construction, namely the duality principle, the orbit picture related to it, and the definition of representations by means of distributions on the orbits. Intended as a text at the upper graduate level, the book assumes a basic knowledge of Fourier analysis, differential geometry, and functional analysis. In particular, the reader should have a good knowledge of the general theory of real and complex Lie algebras and Lie groups and of the root and weight theories for semisimple Lie algebras and Lie groups.

Download or read book Classification of Generalized Affine Symmetric Spaces of Dimension N less Than Or Equal to Symbol 4 written by S. Węgrzynowski and published by . This book was released on 1981 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Orbits on Real Affine Symmetric Spaces written by G. van Dijk and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differential Geometry Lie Groups and Symmetric Spaces written by Sigurdur Helgason and published by American Mathematical Soc.. This book was released on 2001-06-12 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great book ... a necessary item in any mathematical library. --S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. --Barrett O'Neill, University of California This is obviously a very valuable and well thought-out book on an important subject. --Andre Weil, Institute for Advanced Study The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. 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. Helgason begins with a concise, self-contained introduction to differential geometry. Next is a careful treatment of the foundations of the theory of Lie groups, presented in a manner that since 1962 has served as a model to a number of subsequent authors. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbb{C}$ and Cartan's classification of simple Lie algebras over $\mathbb{R}$, following a method of Victor Kac. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All of the problems have either solutions or substantial hints, found at the back of the book. For this edition, the author has made corrections and added helpful notes and useful references. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis.

Download or read book Classification of generalized affine symmetric spaces of dimension n written by Stefan We̢grzynowski and published by . This book was released on 1981 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differential Geometry and Symmetric Spaces written by and published by Academic Press. This book was released on 1962-01-01 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Geometry and Symmetric Spaces

Download or read book Is There an Orbit Method for Affine Symmetric Spaces written by G. 'Olafsson and published by . This book was released on 1989 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Orbits on Real Affine Symmetric Spaces written by G. van Dijk and published by . This book was released on 1980 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Hardy spaces on affine symmetric spaces written by Joachim Hilgert and published by . This book was released on 1989 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Holomorphic Discrete Series for Affine Symmetric Spaces written by Gestur Ólafsson and published by . This book was released on 1987 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The holomorphic discrete series for affine symmetric spaces written by Gestur Ólafsson and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On a Fundamental Series of Representations Related to an Affine Symmetric Space written by M. Flensted-Jensen and published by . This book was released on 1978 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differential Geometry Lie Groups and Symmetric Spaces written by Sigurdur Helgason and published by Academic Press. This book was released on 1979-02-09 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.

Download or read book Orbits on Real Affine Symmetric Spaces written by G. van Dijk and published by . This book was released on 1980 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: