Integral Transforms in Science and Engineering
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Content
Legal Page and Title• Part I
Finite-dimensional vector spaces and the Fourier Transform (Introduction)
– Chapter I
Concepts from complex vector analysis and the Fourier transform
– Chapter II
The application of Fourier analysis to the uncoupling of lattices
– Chapter III
Further developments and applications of the finite Fourier transform
• Part II
Fourier and Bessel series (Introduction)
– Chapter IV
Function vector spaces and Fourier series
– Chapter V
Fourier series in diffusion and wave phenomena
– Chapter VI
Normal mode expansion and Bessel series
• Part III
Fourier and related integral transforms (Introduction)
– Chapter VII
– Chapter VIII
Integral transforms related to the Fourier transform
• Part IV
Canonical transforms (Introduction)
– Chapter IX
Construction and properties of canonical transforms
– Chapter X
Applications to the study of differential equations
• Apendices
– A
The Bessel and related functions
– B