- 680 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Fourier Analysis in Probability Theory
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.
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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
Table of contents
- Front Cover
- Fourier Analysis in Probability Theory
- Copyright Page
- Table of Contents
- Preface
- Chapter I. Introduction
- Chapter Il. Fourier Series and Fourier Transforms
- Chapter Ill. FourierāStieltjes Coefficients, FourierāStieltjes Transforms and Characteristic Functions
- Chapter IV. Convergence and Summability Theorems
- Chapter V. General Convergence Theorems
- Chapter VI. L2-Theory of Fourier Series and Fourier Transforms
- Chapter VII. Laplace and Mellin Transforms
- Chapter VIII. More Theorems on Fourier and Laplace Transforms
- Chapter IX. Convergence of Distribution Functions and Characteristic Functions
- Chapter X. Some Properties of Characteristic Functions
- Chapter XI. Distribution Functions and Their Characteristic Functions
- Chapter XII. Convergence of Series of Independent Random Variables
- Chapter XIII. Properties of Sums of Independent Random Variables; Convergence of Series in the Mean
- Chapter XIV. Some Special Series of Random Variables
- References
- Index