Category
page 1Theorems in Fourier analysis
Nyquist–Shannon sampling theorem
theorem in signal processing describing discrete samples of a continuous signal
Parseval's theorem
theorem
Plancherel theorem
theorem in harmonic analysis
Wiener–Khinchin theorem
spectral decomposition theorem of stationary processes' autocorrelations
Fourier inversion theorem
mathematical theorem on recovering a function from its Fourier transform
convolution theorem
theorem that under suitable conditions the Fourier transform of a convolution of two signals is the pointwise product of their Fourier transforms
Paley–Wiener theorem
any of a family of theorems relating decay properties of a function or distribution at infinity with analyticity of its Fourier transform
Carleson's theorem
1966 result in mathematical analysis
Bochner's theorem
theorem of Fourier transforms of Borel measures
Final value theorem
relation between frequency- and time-domain behavior at large time
Projection-slice theorem
theorem in mathematics
Riesz–Thorin theorem
theorem