Fourier and Wavelet Transforms

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2.1 Fourier Series and Fourier Transforms

\displaystyle{(1)\quad <f(x),g(x)>=\int_a^b f(x)\bar{g}(x)dx }

2.2 Discrete Fourier Transform (DFT) and Fast Fourier Transform FFT)

2.3 Transforming Partial Differential Equations

2.4 Gabor Transform and the Spectrogram

2.5 Laplace Transform

2.6 Wavelets and Multi-Resolution Analysis

2.7 Two-Dimensional Transforms and Image Processing