Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Distribution, Fourier Transform &...(V37)

Distribution, Fourier Transform &...(V37)

Schucker T

Hardcover

Series: World Scientific Lecture Notes in Physics, Book 37

Physics

ISBN10: 981020535X
ISBN13: 9789810205355
Publisher: World Scientific Publishing Company
Published: Apr 11 1991
Pages: 180
Weight: 0.83
Height: 0.60 Width: 6.20 Depth: 8.70
Language: English

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.

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