DISTRIBUTION,FOURIER TRANSFORM &...(V37)

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.

Product details

• Authors: Thomas Schucker, Thomas (.) Schucker, Thomas Schücker, T Schucker
• Publisher: World Scientific
• Languages: English
• Product format: Hardback
• Released: 01.04.1991
• EAN: 9789810205355
• ISBN: 978-981-02-0535-5
• No. of pages: 180
• Dimensions: 157 mm x 235 mm x 14 mm
• Weight: 420 g
• Series: World Scientific Lecture Notes in Physics; World Scientific Lecture Notes
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > General, dictionaries; Non-fiction book > Nature, technology > Astronomy: general, reference works