Tables of Fourier Transforms and Fourier Transforms of Distributions by Fritz OberhettingerTables of Fourier Transforms and Fourier Transforms of Distributions by Fritz Oberhettinger

Tables of Fourier Transforms and Fourier Transforms of Distributions

byFritz Oberhettinger

Paperback | April 18, 1990

Pricing and Purchase Info

$141.62 online 
$142.95 list price
Earn 708 plum® points

Prices and offers may vary in store

Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

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.
Title:Tables of Fourier Transforms and Fourier Transforms of DistributionsFormat:PaperbackDimensions:267 pagesPublished:April 18, 1990Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540506306

ISBN - 13:9783540506300

Reviews

Table of Contents

I. Fourier Cosine Transforms (Tables I).- 1.1 Algebraic Functions.- 1.2 Arbitrary Powers.- 1.3 Exponential Functions.- 1.4 Logarithmic Functions.- 1.5 Trigonometric Functions.- 1.6 Inverse Trigonometric Functions.- 1.7 Hyperbolic Functions.- 1.8 Orthogonal Polynomials.- 1.9 Gamma- and Related Functions.- 1.10 The Error- and the Fresnel Integrals.- 1.11 The Exponential- and Related Integrals.- 1.12 Legendre Functions.- 1.13 Bessel Functions of Arguments x, x2 and 1/x.- 1.14 Bessel Functions of Argument (ax2 + bx + c)1/2.- 1.15 Bessel Functions of Trigonometric and Hyperbolic Arguments.- 1.16 Bessel Functions of Variable Order.- 1.17 Modified Bessel Functions of Arguments x, x2 and 1/x.- 1.18 Modified Bessel Functions of Argument (ax2 + bx + c)1/2.- 1.19 Modified Bessel Functions of Trigonometric and Hyperbolic Arguments.- 1.20 Modified Bessel Functions of Variable Order.- 1.21 Functions Related to Bessel Functions.- 1.22 Parabolic Cylinder- and Whittaker Functions.- 1.23 Elliptic Integrals.- II. Fourier Sine Transforms (Tables II).- 2.1 Algebraic Functions.- 2.2 Arbitrary Powers.- 2.3 Exponential Functions.- 2.4 Logarithmic Functions.- 2.5 Trigonometric Functions.- 2.6 Inverse Trigonometric Functions.- 2.7 Hyperbolic Functions.- 2.8 Orthogonal Polynomials.- 2.9 Gamma- and Related Functions.- 2.10 The Error- and the Fresnel Integrals.- 2.11 The Exponential- and Related Integrals.- 2.12 Legendre Functions.- 2.13 Bessel Functions of Arguments x, x2 and 1/x.- 2.14 Bessel Functions of Argument (ax2 + bx + c)1/2.- 2.15 Bessel Functions of Trigonometric and Hyperbolic Arguments.- 2.16 Bessel Functions of Variable Order.- 2.17 Modified Bessel Functions of Arguments x, x2 and 1/x.- 2.18 Modified Bessel Functions of Argument (ax2 + bx + c)1/2.- 2.19 Modified Bessel Functions of Trigonometric and Hyperbolic Arguments.- 2.20 Modified Bessel Functions of Variable Order.- 2.21 Functions Related to Bessel Functions.- 2.22 Parabolic Cylinder- and Whittaker Functions.- 2.23 Elliptic Integrals.- III. Exponential Fourier Transforms (Tables III).- IV. Fourier Transforms of Distributions (Tables IV and V).- List of Functions.