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Does $L^2(\mathbb{R})$ have idempotent under convolution operation.

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#fourier-analysis #fourier-transform
156
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Convergence of Fourier sine transform of $1$

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#real-analysis #calculus #fourier-analysis #heat-equation
21
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Properties of the 2D Fourier Transform for Real Functions

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#fourier-analysis #fourier-transform
27
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What does it mean to sum over the principal part?

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#complex-analysis #analysis #fourier-analysis #fourier-transform
52
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Does Fourier series of a function with period (2L) remains the same regardless of the specific range within that period in which function is defined?

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#fourier-analysis #fourier-series
22
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Ratio of Fourier transforms with frequency shift

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#fourier-analysis #fourier-transform
17
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Taking real part on a Fourier transform

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#complex-analysis #analysis #fourier-analysis #fourier-transform
26
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How do I show that the synthesis equation of the Fourier Transform equals the original function?

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#fourier-analysis #fourier-series #fourier-transform
49
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Numerical Inverse Z-Transform - Abate and Whitt

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#fourier-analysis #fourier-transform #python #inverse-laplace #z-transform
18
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Can you construct a smooth indicator function $f$ on a set such that $\|\hat{f}\|_{L^1}\leq C$ for some given $C > 0$?

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#real-analysis #analysis #fourier-analysis
22
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Formal Demonstration of an Integral Inequality Involving Nested Sets

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#fourier-analysis #distribution-theory #harmonic-analysis #schwartz-space
21
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Support of the Fourier transform of a window function

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#complex-analysis #fourier-analysis #fourier-transform
34
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Convolution of sinc and dirac comb

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#fourier-analysis #fourier-transform #convolution
22
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Extracting Specific Component Functions from a Composite Numerical Function

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#real-analysis #numerical-methods #fourier-analysis #signal-processing
39
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About the proof of Lobachevsky's integral formula

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#real-analysis #fourier-analysis

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