Analysis on Symmetric Cones

Hardcover (Print)
Buy New
Buy New from BN.com
$179.70
Used and New from Other Sellers
Used and New from Other Sellers
from $98.95
Usually ships in 1-2 business days
(Save 51%)
Other sellers (Hardcover)
  • All (4) from $98.95   
  • New (2) from $208.68   
  • Used (2) from $98.95   

Overview


Analysis on Symmetric Cones is the first book to provide a systematic and clear introduction to the theory of symmetric cones, a subject of growing importance in number theory and multivariate analysis. Beginning with an elementary description of the Jordan algebra approach to the geometric and algebraic foundations of the theory, the book goes on to discuss harmonic analysis and special functions associated with symmetric cones, tying these results together with the study of holomorphic functions on bounded symmetric domains of tube type. Written by algebraic geometers, the book contains a detailed exposition of the spherical polynomials, multivariate hypergeometric functions, and invariant differential operators. The approach is based on Jordan algebras; all that is needed from the theory of these is developed in the first few chapters. The book will be read by students and theoreticians in pure mathematics, non-commutative harmonic analysis, Jordan algebras, and multivariate statistics.
Read More Show Less

Product Details

  • ISBN-13: 9780198534778
  • Publisher: Oxford University Press, USA
  • Publication date: 12/28/1994
  • Series: Oxford Mathematical Monographs Series
  • Pages: 400
  • Product dimensions: 6.38 (w) x 9.50 (h) x 1.10 (d)

Meet the Author

Universite Pierre et Marie Curie, Paris

City University of New York

Read More Show Less

Table of Contents

Ch. I Symmetric cones
Ch. II Jordan algebras
Ch. III Symmetric cones and Euclidean Jordan algebras
Ch. IV The Peirce decomposition in a Jordan algebra
Ch. V Classification of Euclidean Jordan algebras
Ch. VI Polar decomposition and Gauss decomposition
Ch. VII The gamma function of a symmetric cone
Ch. VIII Complex Jordan algebras
Ch. IX Tube domains over convex cones
Ch. X Symmetric domains of tube type
Ch. XI Conical and spherical polynomials
Ch. XII Taylor and Laurent series
Ch. XIII Function spaces on symmetric domains of tube type
Ch. XIV Invariant differential operators and spherical functions
Ch. XV Special functions
Ch. XVI Representations of Jordan algebras and Euclidean Fourier analysis
Bibliography
Notation
Index
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)