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Transforms in Several Variables

  • Brian Davies
Part of the Texts in Applied Mathematics book series (TAM, volume 41)

Abstract

In this short chapter, we sketch a little of the theory of Fourier transforms in several variables. There are other combinations that may occur in applications, for example, mixed transforms such as a Laplace transform in combination with a Fourier transform. Since they are usually required on a case-by-case basis, we do not attempt to a general treatment here.1

Keywords

Fourier Transform Radiation Condition Order Partial Differential Equation Fresnel Diffraction Fraunhofer Diffraction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 10.
    J.C. Jaeger, Bull. Am. Math. Soc., 46 (1940), 687.MathSciNetCrossRefGoogle Scholar
  2. 11.
    The application of the double Laplace transform to a more general second- order partial differential equation in the quadrant x ≥ 0, y ≥ 0 is discussed in K. Evans and E.A. Jackson, J. Math. Phys., 12 (1971), 2012.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Brian Davies
    • 1
  1. 1.Mathematics Department, School of Mathematical SciencesAustralian National UniversityCanberraAustralia

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