- Parseval's theorem
- 巴斯佛尔定理
Atmospheric Sciences (English-Chinese) dictionary. 2014.
Parseval's theorem
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Parseval's theorem — In mathematics, Parseval s theorem [Parseval des Chênes, Marc Antoine Mémoire sur les séries et sur l intégration complète d une équation aux differences partielle linéaire du second ordre, à coefficiens constans presented before the Académie des … Wikipedia
Parseval — ist der Name folgender Personen: August von Parseval (1861–1942), deutscher Konstrukteur von Luftschiffen (Parseval Luftschiffe) Marc Antoine Parseval (1755–1836), französischer Mathematiker (Parsevalsche Gleichung) François Auguste Parseval… … Deutsch Wikipedia
Parseval's identity — In mathematical analysis, Parseval s identity is a fundamental result on the summability of the Fourier series of a function. Geometrically, it is the Pythagorean theorem for inner product spaces. Informally, the identity asserts that the sum of… … Wikipedia
Marc-Antoine Parseval — des Chênes (April 27, 1755 – August 16, 1836) was a French mathematician, most famous for what is now known as Parseval s theorem, which presaged the unitarity of the Fourier transform. He was born in Rosières aux Salines, in France, into an… … Wikipedia
Riesz–Thorin theorem — In mathematics, the Riesz–Thorin theorem, often referred to as the Riesz–Thorin interpolation theorem or the Riesz–Thorin convexity theorem is a result about interpolation of operators. It is named after Marcel Riesz and his student G. Olof… … Wikipedia
Marcinkiewicz interpolation theorem — In mathematics, the Marcinkiewicz interpolation theorem, discovered by Józef Marcinkiewicz (1939), is a result bounding the norms of non linear operators acting on Lp spaces. Marcinkiewicz theorem is similar to the Riesz–Thorin theorem about … Wikipedia
Plancherel theorem — In mathematics, the Plancherel theorem is a result in harmonic analysis, first proved by Michel Plancherel [1] . In its simplest form it states that if a function f is in both L 1(R) and L 2(R), then its Fourier transform is in L 2(R); moreover… … Wikipedia
Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) … Wikipedia
Satz von Parseval — Der Satz von Parseval ist eine Aussage aus der Funktionalanalysis aus dem Bereich der Fourier Analysis. Er besagt, dass die L2 Norm einer Fourier Reihe mit der Norm ihrer Fourier Koeffizienten übereinstimmt. Die Aussage entstand 1799 aus einem… … Deutsch Wikipedia
Riesz–Fischer theorem — In mathematics, the Riesz–Fischer theorem in real analysis refers to a number of closely related results concerning the properties of the space L2 of square integrable functions. The theorem was proven independently in 1907 by Frigyes Riesz and… … Wikipedia
Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… … Wikipedia
