-
Michel Plancherel (French pronunciation: [miʃɛl plɑ̃ʃʁɛl]; 16
January 1885 – 4
March 1967) was a
Swiss mathematician. He was born in
Bussy (Canton of Fribourg...
- mathematics, the
Plancherel theorem (sometimes
called the P****val–
Plancherel identity) is a
result in
harmonic analysis,
proven by
Michel Plancherel in 1910....
- In mathematics,
Plancherel measure is a
measure defined on the set of
irreducible unitary representations of a
locally compact group G {\displaystyle G}...
- The
Plancherel–Rotach
asymptotics are
asymptotic results for
orthogonal polynomials. They are
named after the
Swiss mathematicians Michel Plancherel and...
- {\displaystyle |f|_{2}={\sqrt {|S|}},} we get a
contradiction with the
Plancherel identity | f ^ | 2 = | f | 2 {\displaystyle |{\widehat {f}}|_{2}=|f|_{2}}...
- A
Fourier series (/ˈfʊrieɪ, -iər/) is an
expansion of a
periodic function into a sum of
trigonometric functions. The
Fourier series is an
example of a...
- {g}}(\xi )}}\,d\xi ,}
where the bar
denotes complex conjugation. The
Plancherel theorem,
which follows from the above,
states that ‖ f ‖ L 2 2 = ∫ − ∞...
- topology. The
analogue of the
Plancherel theorem is
abstractly given by
identifying a
measure on the
unitary dual, the
Plancherel measure, with
respect to...
- physics, the most
general form of this
property is more
properly called the
Plancherel theorem.
Suppose that A ( x ) {\displaystyle A(x)} and B ( x ) {\displaystyle...
- that
their Hankel transforms Fν(k) and Gν(k) are well defined, then the
Plancherel theorem states ∫ 0 ∞ f ( r ) g ( r ) r d r = ∫ 0 ∞ F ν ( k ) G ν ( k )...
