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How can a complex exponential represent a real world quantity?

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#complex-numbers #fourier-analysis #exponential-function
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why the convolution of two functions of moderate decrease is again function of moderate decrease?

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#fourier-analysis
226
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Fourier Transform of Gaussian-like function

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#integration #fourier-analysis
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Fourier transform of a Green's function

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#partial-differential-equations #fourier-analysis #physics #greens-function
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Derivation of the momentum operator

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#fourier-analysis #physics #dirac-delta
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Check if the orthogonal system is complete

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#fourier-analysis #orthogonality
526
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Fourier coefficients of $\cos(x/2)$

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#real-analysis #analysis #fourier-analysis #fourier-series
93
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What's the difference? Absolute convergence of trigonometric series

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#sequences-and-series #fourier-analysis
2.6k
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"eigenfunction" of a transformation

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#fourier-analysis #laplace-transform #linear-transformations #integral-transforms #eigenfunctions
535
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Problem using the Fourier transform and convolution to compute an integral

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#calculus #algorithms #numerical-methods #fourier-analysis
40
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different formulas for the fourier series.

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#fourier-analysis #fourier-series
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Signum function and Fourier transform

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#partial-differential-equations #fourier-analysis #fourier-series
207
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Simplification of this fourier transform signum function

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#partial-differential-equations #fourier-analysis #improper-integrals #indefinite-integrals #dirac-delta
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Fourier transform of a piecewise

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#fourier-analysis #fourier-series #laplace-transform
985
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Condition for existence of Fourier transform?

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#real-analysis #fourier-analysis #transformation #signal-processing

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