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Parseval's theorem
Parseval's theorem In mathematics, Parseval's theorem usually refers to the result ...
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Talk:Parseval's theorem
Talk:Parseval's theorem What was solved by the main character ...
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Parseval's identity
Parseval's identity In functional analysis, Parseval's identity, also known as Parseval's equality, is the Pythagorean theorem ...
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Pythagorean theorem
Pythagorean theorem The Pythagorean theorem: The sum of the areas of the ... the hypotenuse (purple). In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry between ... right-angled triangle. In the West, the theorem is named after the Greek mathematician ...
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Marcinkiewicz theorem
Marcinkiewicz theorem In mathematics, the Marcinkiewicz theorem, discovered by Józef Marcinkiewicz, is a result ... mathematical procedure of interpolation of functions. Marcinkiewicz' theorem is similar in spirit to the Riesz-Thorin theorem, but can be used in certain situations where the Riesz-Thorin theorem cannot. You might want to read ...
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Riesz-Thorin theorem
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 ... mathematical procedure of interpolation of functions. This theorem deals with linear maps acting between ...
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Plancherel theorem
Plancherel theorem In mathematics, the Plancherel theorem is a result in harmonic analysis, first ... is actually a unitary map. Here Plancherel's version concerns spaces of functions on the real line. The theorem is valid in abstract versions, on locally ... there is a version of the Plancherel theorem which makes sense for non-commutative ...
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Marc-Antoine Parseval
Marc-Antoine Parseval Marc-Antoine Parseval des Chnes (April 27, 1755 – August ... famous for what is now known as Parseval's theorem, which presaged the unitarity of the ...
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Riesz–Fischer theorem
Riesz–Fischer theorem In mathematics, the Riesz–Fischer theorem in real analysis states that a function ... coefficients of . The Riesz–Fischer theorem is a stronger form of Bessel's inequality, and can be used to prove Parseval's identity. Hungarian mathematician Frigyes Riesz ...
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Wirtinger's inequality
Wirtinger's inequality In mathematics, Wirtinger's inequality is an inequality used in Fourier ... isoperimetric inequality. (There is a second Wirtinger's inquality (complex analysis) .) Theorem Let f : R → R be a ... some c and d). Proof Since Dirichlet's conditions are met, we can write < ...
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