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Distributions, Fourier Transforms And Some Of Their Applications To Physics

1991-04-22 Science
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Release : 1991-04-22
Genre : Science
Kind : eBook
Book Rating : 406/5 ( reviews)

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Book Synopsis Distributions, Fourier Transforms And Some Of Their Applications To Physics by : Schucker Thomas

Download or read book Distributions, Fourier Transforms And Some Of Their Applications To Physics written by Schucker Thomas. This book was released on 1991-04-22. Available in PDF, EPUB and Kindle. Book excerpt: In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues:The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.

Distributions, Fourier Transforms and Some of Their Applications to Physics

1991
Download Distributions, Fourier Transforms and Some of Their Applications to Physics PDF Online Free

Author :
Release : 1991
Genre :
Kind : eBook
Book Rating : 159/5 ( reviews)

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Book Synopsis Distributions, Fourier Transforms and Some of Their Applications to Physics by : Thomas Schucker

Download or read book Distributions, Fourier Transforms and Some of Their Applications to Physics written by Thomas Schucker. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt:

Distributions and Their Applications in Physics

2017-07-26 Science
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Release : 2017-07-26
Genre : Science
Kind : eBook
Book Rating : 208/5 ( reviews)

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Book Synopsis Distributions and Their Applications in Physics by : F. Constantinescu

Download or read book Distributions and Their Applications in Physics written by F. Constantinescu. This book was released on 2017-07-26. Available in PDF, EPUB and Kindle. Book excerpt: Distributions and Their Applications in Physics is the introduction of the Theory of Distributions and their applications in physics. The book contains a discussion of those topics under the Theory of Distributions that are already considered classic, which include local distributions; distributions with compact support; tempered distributions; the distribution theory in relativistic physics; and many others. The book also covers the Normed and Countably-normed Spaces; Test Function Spaces; Distribution Spaces; and the properties and operations involved in distributions. The text is recommended for physicists that wish to be acquainted with distributions and their relevance and applications as part of mathematical and theoretical physics, and for mathematicians who wish to be acquainted with the application of distributions theory for physics.

Distributions, Fourier Transforms and Some of Their Applications to Physics

1991 Science
Download Distributions, Fourier Transforms and Some of Their Applications to Physics PDF Online Free

Author :
Release : 1991
Genre : Science
Kind : eBook
Book Rating : 355/5 ( reviews)

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Book Synopsis Distributions, Fourier Transforms and Some of Their Applications to Physics by : Thomas Schcker

Download or read book Distributions, Fourier Transforms and Some of Their Applications to Physics written by Thomas Schcker. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues: It only presupposes standard calculus.It allows to justify manipulations necessary in physical applications. The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.

A Guide To Distribution Theory And Fourier Transforms

2003-06-13 Mathematics
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Release : 2003-06-13
Genre : Mathematics
Kind : eBook
Book Rating : 292/5 ( reviews)

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Book Synopsis A Guide To Distribution Theory And Fourier Transforms by : Robert S Strichartz

Download or read book A Guide To Distribution Theory And Fourier Transforms written by Robert S Strichartz. This book was released on 2003-06-13. Available in PDF, EPUB and Kindle. Book excerpt: This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.

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