CR Manifolds and the Tangential Cauchy Riemann Complex

Hardcover (Print)
Buy New
Buy New from BN.com
$196.08
Used and New from Other Sellers
Used and New from Other Sellers
from $99.94
Usually ships in 1-2 business days
(Save 54%)
Other sellers (Hardcover)
  • All (3) from $99.94   
  • New (2) from $272.77   
  • Used (1) from $99.94   

Overview

CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. The first half of the book covers the basic definitions and background material concerning CR manifolds, CR functions, the tangential Cauchy-Riemann Complex and the Levi form.
The second half of the book is devoted to two significant areas of current research. The first area is the holomorphic extension of CR functions. Both the analytic disc approach and the Fourier transform approach to this problem are presented. The second area of research is the integral kernal approach to the solvability of the tangential Cauchy-Riemann Complex. CR Manifolds and the Tangential Cauchy Riemann Complex will interest students and researchers in the field of several complex variable and partial differential equations.

Read More Show Less

Product Details

  • ISBN-13: 9780849371523
  • Publisher: Taylor & Francis
  • Publication date: 9/12/1991
  • Series: Studies in Advanced Mathematics Series, #1
  • Pages: 384
  • Product dimensions: 0.85 (w) x 1.10 (h) x 0.26 (d)

Table of Contents

PRELIMINARIES. Differential Forms and Stokes Theorem. Distributions and Curents. Fundamental Solutions for and D. Edge of the Wedge Theorem. Whitney's Extension Theorem. CR MANIFOLDS AND CR FUNCTIONS. Overview. CR Manifolds. The Tangential Cauchy Riemann Complex. Normal Form for Imbedded CR Manifolds. CR Functions. The Imbeddability of Real Analytic Abstract CR Manifolds. A Non-Imbeddable C8 Abstract CR Manifold. Further Results. HOLOMORPHIC EXTENSION OF CR FUNCTIONS. Overview. Approximating CR Functions By Entire Functions. Statement of the Extension Theorem. The Analytic Disc Technique. The Fourier Transform Technique. The Real Analytic Regularity of CR Mappings. Further Results. THE SOLVABILITY OF THE TANGENTIAL CAUCHY RIEMANN EQUATIONS. Overview. Kernel Calculus. The Kernels of Cauchy and Bochner. The Kernel of Henkin. The Fundamental Solution for the Tangential Cauchy Riemann Equations. A Local Solution for the Tangential Cauchy Riemann Equations. Lewy's Non-Solvability Example. Henkin's Criterion for Local Solvability of the Tangential Cauchy Riemann Complex at the Top Degree. Further Results.

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)