Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 33

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Murray R. Spiegel: Mathematical Handbook of Formulas and Tables: Chapter 33

Published $\text {1968}$.


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$33 \quad$ Fourier Transforms

Fourier's Integral Theorem

$33.1$: Fourier's Integral Theorem


Equivalent Forms of Fourier's Integral Theorem

Fourier Transforms

$33.7$ Fourier Transform: $\displaystyle \map \FF {\map f x} = \map F \alpha := \int_{-\infty}^\infty \map f x e^{-i \alpha x} \rd x$:
$33.8$ Inverse Fourier Transform: $\displaystyle \map \FF {\map F \alpha} = \map f x := \int_{-\infty}^\infty \map F \alpha e^{i \alpha x} \rd \alpha$:


Convolution Theorem for Fourier Transforms

Parseval's Identity

Fourier Sine Transforms

Fourier Cosine Transforms

Special Fourier Transform Pairs

Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 33/Special Fourier Transform Pairs

Special Fourier Sine Transforms

Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 33/Special Fourier Sine Transforms

Special Fourier Cosine Transforms

Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 33/Special Fourier Cosine Transforms

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