The Theory of H(b) Spaces: Volume 2
eBook - PDF

The Theory of H(b) Spaces: Volume 2

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

The Theory of H(b) Spaces: Volume 2

About this book

An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.

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 Theory of H(b) Spaces: Volume 2 by Emmanuel Fricain,Javad Mashreghi in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Contents for Volume 2
  8. Contents for Volume 1
  9. Preface
  10. 16 The spaces mathcal M(A) and mathcal H(A)
  11. 17 Hilbert spaces inside H[sup(2)]
  12. 18 The structure of mathcal H(b) and mathcal H(bar b)
  13. 19 Geometric representation of mathcal H(b) spaces
  14. 20 Representation theorems for mathcal H(b) and mathcal H(bar b)
  15. 21 Angular derivatives of mathcal H(b) functions
  16. 22 Bernstein-type inequalities
  17. 23 mathcal H(b) spaces generated by a nonextreme symbol b
  18. 24 Operators on mathcal H(b) spaces with b nonextreme
  19. 25 mathcal H(b) spaces generated by an extreme symbol b
  20. 26 Operators on mathcal H(b) spaces with b extreme
  21. 27 Inclusion between two mathcal H(b) spaces
  22. 28 Topics regarding inclusions mathcal M(a) subset mathcal H(bar b) subset mathcal H(b)
  23. 29 Rigid functions and strongly exposed points of H[sup(1)]
  24. 30 Nearly invariant subspaces and kernels of Toeplitz operators
  25. 31 Geometric properties of sequences of reproducing kernels
  26. References
  27. Symbol index
  28. Author index
  29. Subject index