The Cauchy Transform, Potential Theory and Conformal Mapping
eBook - PDF

The Cauchy Transform, Potential Theory and Conformal Mapping

  1. 221 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

The Cauchy Transform, Potential Theory and Conformal Mapping

Book details
Table of contents
Citations

About This Book

The Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the Cauchy integral formula, in a new and novel way based on an advance made by Kerzman and Stein in 1976.The book provides a fast track to understanding the Riemann Mapping Theorem. The Dirichlet and Neumann problems f

Frequently asked questions

Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.
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.
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
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 access The Cauchy Transform, Potential Theory and Conformal Mapping by Steven R. Bell in PDF and/or ePUB format, as well as other popular books in Matematica & Matematica generale. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Chapman and Hall/CRC
Year
2015
ISBN
9781498727211
Edition
2
Topic
Matematica
Subtopic
Matematica generale

Table of contents

  1. Front Cover
  2. Contents
  3. Preface
  4. Table of symbols
  5. Chapter 1 - Introduction
  6. Chapter 2 - The improved Cauchy integral formula
  7. Chapter 3 - The Cauchy transform
  8. Chapter 4 - The Hardy space, the SzegƑ projection, and the Kerzman-Stein formula
  9. Chapter 5 - The Kerzman-Stein operator and kernel
  10. Chapter 6 - The classical definition of the Hardy space
  11. Chapter 7 - The SzegƑ kernel function
  12. Chapter 8 - The Riemann mapping function
  13. Chapter 9 - A density lemma and consequences
  14. Chapter 10 - Solution of the Dirichlet problem in simply connected domains
  15. Chapter 11 - The case of real analytic boundary
  16. Chapter 12 - The transformation law for the SzegƑ kernel under conformal mappings
  17. Chapter 13 - The Ahlfors map of a multiply connected domain
  18. Chapter 14 - The Dirichlet problem in multiply connected domains
  19. Chapter 15 - The Bergman space
  20. Chapter 16 - Proper holomorphic mappings and the Bergman projection
  21. Chapter 17 - The Solid Cauchy transform
  22. Chapter 18 - The classical Neumann problem
  23. Chapter 19 - Harmonic measure and the SzegƑ kernel
  24. Chapter 20 - The Neumann problem in multiply connected domains
  25. Chapter 21 - The Dirichlet problem again
  26. Chapter 22 - Area quadrature domains
  27. Chapter 23 - Arc length quadrature domains
  28. Chapter 24 - The Hilbert transform
  29. Chapter 25 - The Bergman kernel and the SzegƑ kernel
  30. Chapter 26 - Pseudo-local property of the Cauchy transform and consequences
  31. Chapter 27 - Zeroes of the SzegƑ kernel
  32. Chapter 28 - The Kerzman-Stein integral equation
  33. Chapter 29 - Local boundary behavior of holomorphic mappings
  34. Chapter 30 - The dual space of A∞(Ω)
  35. Chapter 31 - The Green’s function and the Bergman kernel
  36. Chapter 32 - Zeroes of the Bergman kernel
  37. Chapter 33 - Complexity in complex analysis
  38. Chapter 34 - Area quadrature domains and the double
  39. Appendix A - The Cauchy-Kovalevski theorem for the Cauchy-Riemann operator
  40. Bibliographic Notes
  41. Bibliography
  42. Back Cover