The Sub-Laplacian Operators of Some Model Domains
eBook - ePub

The Sub-Laplacian Operators of Some Model Domains

  1. 266 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Sub-Laplacian Operators of Some Model Domains

About this book

The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker's equations.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access The Sub-Laplacian Operators of Some Model Domains by Der-Chen Chang,Jingzhi Tie in PDF and/or ePUB format, as well as other popular books in Mathematics & Analytic Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2022
Print ISBN
9783110642100
eBook ISBN
9783110643176

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. Preface
  5. 1 Fourier analysis and Laplace operators on ℝn
  6. 2 The model domain, the sub-Laplacian operator and Cauchy–Szegö kernels
  7. 3 The fundamental solution for the operator Δλ: k=1
  8. 4 Fundamental solution for the operator Δλ: k=2 and n=1
  9. 5 Fundamental solution for the operator Δ0: k=2
  10. 6 Green’s function of the operator Δλ for general n and k
  11. 7 A geometric formula for the fundamental solution
  12. Subject Index