Description

Book Synopsis
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.

Trade Review
"The presentation is clear, lively and motivated by applications in physics. The book fulfills the promise of being accessible to students with a background in calculus and in basic physics." P Szeptycki Mathematical Reviews, 1992

Distributions, Fourier Transforms And Some Of

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    A Hardback by Thomas Schucker

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 01/04/1991
      ISBN13: 9789810205355, 978-9810205355
      ISBN10: 981020535X

      Description

      Book Synopsis
      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.

      Trade Review
      "The presentation is clear, lively and motivated by applications in physics. The book fulfills the promise of being accessible to students with a background in calculus and in basic physics." P Szeptycki Mathematical Reviews, 1992

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