ISSN 0002-9920 Notices of the American Mathematical Society ABCD springer.com Highlights in Springer’s eBook Collection of the American Mathematical Society June/July 2009 Volume 56, Number 6 NEW NEW Using representation theory and This self-contained text off ers a host of Editor-in-Chief: Steven G. Krantz invariant theory to analyze the new mathematical tools and strategies The Journal of Geometric Analysis is a symmetries arising from group actions, which develop a connection between high-quality journal devoted to and with emphasis on the geometry analysis and other mathematical publishing important new results at the and basic theory of Lie groups and Lie disciplines, such as physics and interface of analysis, geometry and algebras, this book reworks an earlier engineering. A broad view of math- partial diff erential equations. Founded highly acclaimed work by the author. ematics is presented throughout; the 17 years ago by its current Editor-in- This comprehensive introduction to Lie text is excellent for the classroom or Chief the journal has maintained theory, representation theory, invariant self-study. standards of innovation and excellence. theory and algebraic groups is more 2009. XX, 452 p. 10 illus. Softcover accessible to students and includes a ISSN 1050-6926 (print ) ISBN 978-0-387-77378-0 7 $79.95 broader ranger of applications. ISSN 1559-002X (online) 2009. XX, 716 p. 10 illus. (Graduate Texts in Mathematics, Volume 255) Hardcover ISBN 978-0-387-79851-6 7 $69.95 For access check with your librarian Fractional Diff erentiation Risk and Asset Allocation Groups and Symmetries Inequalities A. Meucci From Finite Groups to Lie Groups G. A. Anastassiou This book off ers a comprehensive Y. 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ISBN 978-0-387-98127-7 7 $129.00 (Universitext) Softcover and Complex Analysis ISBN 978-0-387-78865-4 7 approx. $59.95 page 713 Easy Ways to Order for the Americas 7 Write: Springer Order Department, PO Box 2485, Secaucus, NJ 07096-2485, USA 7 Call: (toll free) 1-800-SPRINGER 7 Fax: 1-201-348-4505 7 Email: [email protected] or for outside the Americas 7 Write: Springer Customer Service Center GmbH, Haberstrasse 7, 69126 Heidelberg, Germany 7 Call: +49 (0) 6221-345-4301 7 Fax : +49 (0) 6221-345-4229 7 Email: [email protected] 7 Prices are subject to change without notice. All prices are net prices. 014182x Atle Selberg and automorphic forms (see page 710) Trim: 8.25" x 10.75" 112 pages on 40 lb Velocity • Spine: 1/8" • Print Cover on 9pt Carolina LATEX LATEX LATEX Volume 2009 Open Access Journals Abstract andApplied Analysis in Mathematics Your research wants to be free! 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In the last three decades the development of a number of novel ideas This monograph develops a global “The book is very clearly written and in algebraic geometry, category theory, quantization theory of pseudo-differential fairly self-contained. It will be useful to gauge theory, and string theory has operators on compact Lie groups. researchers and advanced graduate been closely related to generalizations of Traditionally, the theory of pseudo- students in the fi eld and can serve as an integral transforms of a more geometric differential operators was introduced in the ideal guide to Thurston‘s work and its character. Fourier–Mukai