Fourier Transforms of Distributions and Their Inverses is popular PDF and ePub book, written by Fritz Oberhettinger in 2014-07-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fourier Transforms of Distributions and Their Inverses can be Read Online from any device for your convenience.
Fourier Transforms of Distributions and Their Inverses Book PDF Summary
Fourier Transforms of Distributions and Their Inverses: A Collection of Tables is a collection of tables on the integrals of Fourier transforms of distributions and their inverses involving the class of functions which are nonnegative and integrable over the interval. The emphasis is on the probability densities, and a number of examples are provided. This book is organized into two parts and begins with an introduction to those properties of characteristic functions which are important in probability theory, followed by a description of the tables and their use. The first three tables contain Fourier transforms of absolutely continuous distribution functions, namely, even functions (including Legendre functions); functions vanishing identically for negative values of the argument (including arbitrary powers); and functions that do not belong to either of the above classes. The transform pairs are numbered consecutively and arranged systematically according to the analytical character of the frequency function. The next two tables give the inverse transforms of the functions listed in the first and third tables, respectively. This monograph will appeal to students and specialists in the fields of probability and mathematical statistics.
Detail Book of Fourier Transforms of Distributions and Their Inverses PDF
- Author : Fritz Oberhettinger
- Release : 03 July 2014
- Publisher : Academic Press
- ISBN : 9781483219028
- Genre : Mathematics
- Total Page : 180 pages
- Language : English
- PDF File Size : 8,7 Mb
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