Fritz Oberhettinger 
Fourier Transforms of Distributions and Their Inverses [PDF ebook] 
A Collection of Tables

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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.

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Ngôn ngữ Anh ● định dạng PDF ● ISBN 9781483219028 ● Biên tập viên Z. W. Birnbaum & E. Lukacs ● Nhà xuất bản Elsevier Science ● Được phát hành 2014 ● Có thể tải xuống 3 lần ● Tiền tệ EUR ● TÔI 5733570 ● Sao chép bảo vệ Adobe DRM
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