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New posts in fourier-analysis
Using Fourier Series to compute sums
calculus
sequences-and-series
fourier-analysis
summation
fourier-series
$L_{p}$ distance between a function and its translation
functional-analysis
measure-theory
fourier-analysis
Orthonormal basis for $\mathcal{L}^2([0,1])$
real-analysis
functional-analysis
fourier-analysis
hilbert-spaces
fourier-series
Fourier transform of $\left|\frac{\sin x}{x}\right|$
calculus
trigonometry
fourier-analysis
signal-processing
closed-form
Is a Fourier transform a change of basis, or is it a linear transformation?
linear-algebra
fourier-analysis
transformation
What is the square root of a Fourier transform?
functional-analysis
fourier-analysis
fourier-transform
why do we get a zero coefficient for frequencies not in the sound-wave using Fourier transform?
complex-analysis
fourier-analysis
fourier-transform
polar-coordinates
signal-processing
Uniform convergence and Poisson sum
calculus
fourier-analysis
fourier-series
Fourier transform of the distribution PV $\left( \frac{1}{x} \right)$
fourier-analysis
distribution-theory
harmonic-analysis
Can a non-periodic function have a Fourier series?
calculus
complex-analysis
fourier-analysis
fourier-series
Compactly supported function whose Fourier transform decays exponentially?
fourier-analysis
asymptotics
examples-counterexamples
Derivative of Fourier transform: $F[f]'=F[-ixf(x)]$
real-analysis
functional-analysis
fourier-analysis
lebesgue-integral
What is the difference between a function and a distribution?
analysis
functions
fourier-analysis
laplace-transform
Fourier cosine transforms of Schwartz functions and the Fejer-Riesz theorem
fourier-analysis
integral-inequality
fourier-transform
Why do Fourier transforms use complex numbers?
fourier-analysis
Fourier sine transform of $ \frac{1}{e^{ax } - e^{-ax}} $
fourier-analysis
fourier-transform
What is the Fourier transform of $1/|x|$?
fourier-analysis
fourier-series
How is the Fourier transform "linear"?
terminology
fourier-analysis
On the vector spaces of Taylor Series and Fourier Series
functional-analysis
vector-spaces
fourier-analysis
taylor-expansion
fourier-series
Derive Fourier transform of sinc function
integration
fourier-analysis
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