ApproxFunFourier.Circle
— TypeCircle(c,r,o)
represents the circle centred at c
with radius r
which is positively (o=true
) or negatively (o=false
) oriented.
ApproxFunFourier.CosSpace
— MethodCosSpace()
The space spanned by [1, cos θ, cos 2θ, ...]
CosSpace(d::Domain)
The space spanned by [1,cos(2pi/L*θ), cos(2pi/L*2θ), ...]
for a domain with a period L
ApproxFunFourier.Fourier
— TypeFourier()
The space spanned by the trigonemtric polynomials
1, sin(θ), cos(θ), sin(2θ), cos(2θ), …
See also Laurent
.
Fourier(d::Domain)
The space spanned by the trigonemtric polynomials
1, sin(2pi/L*θ), cos(2pi/L*θ), sin(2pi/L*2θ), cos(2pi/L*2θ), …
for a domain with a period L
.
ApproxFunFourier.Hardy
— TypeHardy{false}()
is the space spanned by [1/z,1/z^2,...]
. Hardy{true}()
is the space spanned by [1,z,z^2,...]
.
ApproxFunFourier.Laurent
— TypeLaurent()
The space spanned by the complex exponentials
1,exp(-im*θ),exp(im*θ),exp(-2im*θ),…
See also Fourier
.
Laurent(d::Domain)
The space spanned by the complex exponentials
1, exp(-im * (2pi/L*θ)), exp(im * (2pi/L*θ)), exp(-2im * (2pi/L*θ)), …
for a domain with a period L
.
ApproxFunFourier.PeriodicSegment
— TypePeriodicSegment(a,b)
represents a periodic interval from a
to b
, that is, the point b
is identified with a
.
ApproxFunFourier.SinSpace
— MethodSinSpace()
The space spanned by [sin θ, sin 2θ, ...]
SinSpace(d::Domain)
The space spanned by [1, sin(2pi/L*θ), sin(2pi/L*2θ), ...]
for a domain with a period L
ApproxFunFourier.Taylor
— TypeTaylor()
is the space spanned by [1,z,z^2,...]
. This is a type alias for Hardy{true}
.