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($n$-dimensional) Inverse Fourier transform of $\frac{1}{\| \mathbf{\omega} \|^{2\alpha}}$
fourier-analysis
integration
How to prove a function is the Fourier transform of another $L^{1}$ function?
real-analysis
fourier-analysis
Fourier transform of $ |x|^{s} $ and $\log|x| $
fourier-analysis
integral-transforms
Non-power-of-2 FFT's?
algorithms
fourier-analysis
Are these zeros equal to the imaginary parts of the Riemann zeta zeros?
fourier-analysis
analytic-number-theory
riemann-zeta
Fourier transform over semi-ball
real-analysis
integration
definite-integrals
fourier-analysis
Proving uniform convergence of a Fourier series
fourier-analysis
fourier-series
uniform-convergence
Drum PDEs, Double Fourier Expansions, and Synthesis
partial-differential-equations
fourier-analysis
fourier-series
wave-equation
music-theory
Dirac Delta or Dirac delta function?
real-analysis
functional-analysis
fourier-analysis
distribution-theory
Differential equations and Fourier and Laplace transforms
ordinary-differential-equations
fourier-analysis
intuition
operator-theory
laplace-transform
A log improper integral
calculus
real-analysis
sequences-and-series
integration
fourier-analysis
Did Joseph Fourier ever make a pure mathematical mistake?
fourier-analysis
math-history
mathematicians
Sobolev space $H^s(\mathbb{R}^n)$ is an algebra with $2s>n$
partial-differential-equations
fourier-analysis
sobolev-spaces
distribution-theory
Riemann-Lebesgue lemma and regularity for partial Fourier transform
real-analysis
functional-analysis
fourier-analysis
harmonic-analysis
How to interpret the adjoint?
linear-algebra
fourier-analysis
hilbert-spaces
inner-products
Schwartz space is a Fréchet space
real-analysis
fourier-analysis
schwartz-space
Fourier transform of function composition
fourier-analysis
Real world application of Fourier series
fourier-analysis
fourier-series
signal-processing
applications
Derivative of convolution
functional-analysis
fourier-analysis
Are there "tight" (as possible) upper bounds for $\max_t{\left\{ \left|\frac{d f(t)}{dt}\right|\right\}}$ for time-limited functions???
real-analysis
derivatives
convergence-divergence
fourier-analysis
upper-lower-bounds
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