Tables of Fourier Transforms and Fourier Transforms of Distributions

This book presents a collection of integrals of the sine-, cosine- and exponential Fourier transforms of functions f(x).

Tables of Fourier Transforms and Fourier Transforms of Distributions

This book presents a collection of integrals of the sine-, cosine- and exponential Fourier transforms of functions f(x). It is the second, considerably enlarged version of the author's previous publication "Tabellen zur Fourier Transformation" (Springer-Verlag 1957). In addition to numerous new results in Parts I-III, a new Part IV has been introduced dealing with problems in mathematical statistics. The aim of the book is to serve as a reference work for all those whose main interest is in the application of Fourier transform methods. These methods have found a wide variety of applications in the natural and technical sciences.

More Books:

Tables of Fourier Transforms and Fourier Transforms of Distributions
Language: en
Pages: 259
Authors: Fritz Oberhettinger
Categories: Mathematics
Type: BOOK - Published: 1990-04-18 - Publisher: Springer

This book presents a collection of integrals of the sine-, cosine- and exponential Fourier transforms of functions f(x). It is the second, considerably enlarged version of the author's previous publication "Tabellen zur Fourier Transformation" (Springer-Verlag 1957). In addition to numerous new results in Parts I-III, a new Part IV has
Fourier Transforms of Distributions and Their Inverses
Language: en
Pages: 180
Authors: Fritz Oberhettinger
Categories: Mathematics
Type: BOOK - Published: 2014-07-03 - Publisher: Academic Press

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
Tables of Fourier Transforms and Fourier Transforms of Distributions
Language: en
Pages: 259
Authors: Fritz Oberhettinger
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

This book presents a collection of integrals of the sine-, cosine- and exponential Fourier transforms of functions f(x). It is the second, considerably enlarged version of the author's previous publication "Tabellen zur Fourier Transformation" (Springer-Verlag 1957). In addition to numerous new results in Parts I-III, a new Part IV has
A First Course in Fourier Analysis
Language: en
Pages:
Authors: David W. Kammler
Categories: Mathematics
Type: BOOK - Published: 2008-01-17 - Publisher: Cambridge University Press

This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs,
Mastering the Discrete Fourier Transform in One, Two or Several Dimensions
Language: en
Pages: 375
Authors: Isaac Amidror
Categories: Mathematics
Type: BOOK - Published: 2013-07-19 - Publisher: Springer Science & Business Media

The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least