Fourier Analysis in Probability Theory
eBook - PDF

Fourier Analysis in Probability Theory

  1. 680 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Fourier Analysis in Probability Theory

Book details
Table of contents
Citations

About This Book

Fourier Analysis in Probability Theory provides useful results from the theories of Fourier series, Fourier transforms, Laplace transforms, and other related studies. This 14-chapter work highlights the clarification of the interactions and analogies among these theories. Chapters 1 to 8 present the elements of classical Fourier analysis, in the context of their applications to probability theory. Chapters 9 to 14 are devoted to basic results from the theory of characteristic functions of probability distributors, the convergence of distribution functions in terms of characteristic functions, and series of independent random variables. This book will be of value to mathematicians, engineers, teachers, and students.

Frequently asked questions

Simply head over to the account section in settings and click on ā€œCancel Subscriptionā€ - itā€™s as simple as that. After you cancel, your membership will stay active for the remainder of the time youā€™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 Perlegoā€™s features. The only differences are the price and subscription period: With the annual plan youā€™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, weā€™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 Fourier Analysis in Probability Theory by Tatsuo Kawata, Z. W. Birnbaum,E. Lukacs in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483218526
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Front Cover
  2. Fourier Analysis in Probability Theory
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Chapter I. Introduction
  7. Chapter Il. Fourier Series and Fourier Transforms
  8. Chapter Ill. Fourierā€“Stieltjes Coefficients, Fourierā€“Stieltjes Transforms and Characteristic Functions
  9. Chapter IV. Convergence and Summability Theorems
  10. Chapter V. General Convergence Theorems
  11. Chapter VI. L2-Theory of Fourier Series and Fourier Transforms
  12. Chapter VII. Laplace and Mellin Transforms
  13. Chapter VIII. More Theorems on Fourier and Laplace Transforms
  14. Chapter IX. Convergence of Distribution Functions and Characteristic Functions
  15. Chapter X. Some Properties of Characteristic Functions
  16. Chapter XI. Distribution Functions and Their Characteristic Functions
  17. Chapter XII. Convergence of Series of Independent Random Variables
  18. Chapter XIII. Properties of Sums of Independent Random Variables; Convergence of Series in the Mean
  19. Chapter XIV. Some Special Series of Random Variables
  20. References
  21. Index