Ebook: Tables of Fourier Transforms and Fourier Transforms of Distributions
Author: Fritz Oberhettinger (auth.)
- Tags: Topological Groups Lie Groups, Real Functions, Probability Theory and Stochastic Processes, Appl.Mathematics/Computational Methods of Engineering, Mathematical Methods in Physics, Numerical and Computational Physics
- Year: 1990
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
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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.
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.
Content:
Front Matter....Pages I-VIII
Fourier Cosine Transforms (Tables I)....Pages 1-111
Fourier Sine Transforms (Tables II)....Pages 113-195
Exponential Fourier Transforms (Tables III)....Pages 197-207
Fourier Transforms of Distributions (Tables IV and V)....Pages 209-248
Back Matter....Pages 249-261
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.
Content:
Front Matter....Pages I-VIII
Fourier Cosine Transforms (Tables I)....Pages 1-111
Fourier Sine Transforms (Tables II)....Pages 113-195
Exponential Fourier Transforms (Tables III)....Pages 197-207
Fourier Transforms of Distributions (Tables IV and V)....Pages 209-248
Back Matter....Pages 249-261
....
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.
Content:
Front Matter....Pages I-VIII
Fourier Cosine Transforms (Tables I)....Pages 1-111
Fourier Sine Transforms (Tables II)....Pages 113-195
Exponential Fourier Transforms (Tables III)....Pages 197-207
Fourier Transforms of Distributions (Tables IV and V)....Pages 209-248
Back Matter....Pages 249-261
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.
Content:
Front Matter....Pages I-VIII
Fourier Cosine Transforms (Tables I)....Pages 1-111
Fourier Sine Transforms (Tables II)....Pages 113-195
Exponential Fourier Transforms (Tables III)....Pages 197-207
Fourier Transforms of Distributions (Tables IV and V)....Pages 209-248
Back Matter....Pages 249-261
....
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