1 Table of Contents: “...Brief Historical Introduction -- Hilbert Spaces and Orthonormal Systems -- Fourier Transformations...”

2 Table of Contents: “...1 Brief Historical Introduction -- 1.1 Fourier Series and Fourier Transforms -- 1.2 Gabor...”

3 Table of Contents: “...The Fourier Transform -- The Time-Frequency Analysis -- The Wavelet Transforms -- Construction...”

4 Table of Contents: “...I Wavelets and Wavelet Transforms -- 1 Wavelet Frames: Multiresolution Analysis and Extension...”

5 Table of Contents: “... -- Green’s Functions and Boundary-Value Problems -- Integral Transform Methods with Applications -- Nonlinear...”

6 Table of Contents: “... and the Inverse Scattering Transform -- The Nonlinear Schrödinger Equation and Solitary Waves -- Nonlinear Klein...”

7 Table of Contents: “... -- Nonlinear Diffusion-Reaction Phenomena -- Solitons and the Inverse Scattering Transform -- The Nonlinear...”

8 Table of Contents: “...I Wavelets and Wavelet Transforms -- 1 The Wavelet Transform and Time-Frequency Analysis -- 2...”

9 Table of Contents: “... Transform -- 10. The Nonlinear Schrödinger Equation and Solitary Waves -- 11. Nonlinear Klein-Gordon...”