Orthogonal basis

Univariate polynomials

UniVariatePolynomial(*args)	Base class for univariate polynomials.
MonomialFunction(*args)	Monomial function class.

Univariate polynomial families

MonomialFunctionFactory(*args)

Factory for univariate monomial functions.

Refer to Polynomial chaos basis.

Multivariate polynomial functions

TensorizedUniVariateFunctionFactory(*args)

Base class for tensorized multivariate functions.

Orthonormalization algorithms

OrthonormalizationAlgorithm(*args)	Algorithm used to build the orthonormal basis.
AdaptiveStieltjesAlgorithm(*args)	AdaptiveStieltjes algorithm used to build the orthonormal basis.

Orthogonal univariate polynomial families

Refer to Orthogonal polynomials.

OrthogonalUniVariatePolynomial(*args)	Base class for orthogonal univariate polynomials.
OrthogonalUniVariatePolynomialFamily(*args)	Base class for orthogonal univariate polynomial factories.
StandardDistributionPolynomialFactory(*args)	Build orthonormal or orthogonal univariate polynomial families.

HermiteFactory(*args)	Hermite specific orthonormal univariate polynomial family.
HistogramPolynomialFactory(*args)	Histogram specific orthonormal univariate polynomial family.
JacobiFactory(*args)	Jacobi specific orthonormal univariate polynomial family.
LaguerreFactory(*args)	Laguerre specific orthonormal univariate polynomial family.
LegendreFactory(*args)	Legendre specific orthonormal univariate polynomial family.
CharlierFactory(*args)	Charlier specific orthonormal univariate polynomial family.
ChebychevFactory(*args)	Chebychev specific orthonormal univariate polynomial family.
KrawtchoukFactory(*args)	Krawtchouk specific orthonormal univariate polynomial family.
MeixnerFactory(*args)	Meixner specific orthonormal univariate polynomial family.

Orthogonal univariate function families

OrthogonalUniVariateFunctionFamily(*args)	Base class for orthogonal univariate polynomial factories.
OrthogonalUniVariateFunctionFactory(*args)	Base class for orthogonal univariate function factories.
OrthogonalUniVariatePolynomialFunctionFactory(*args)	Polynomial specific orthogonal univariate function factory.
FourierSeriesFactory(*args)	Fourier series function factory.
HaarWaveletFactory(*args)	Haar wavelet function factory.

Orthogonal multivariate functions

SoizeGhanemFactory(*args)

SoizeGhanem orthonormal multivariate functional family.

Making orthogonal multivariate functions from orthogonal univariate functions

OrthogonalProductPolynomialFactory(*args)	Base class for orthogonal multivariate polynomials.
OrthogonalProductFunctionFactory(*args)	Base class for orthogonal multivariate functions.

Truncation schemes

Refer to Chaos basis enumeration strategies.

EnumerateFunction(*args)	Enumerate function.
LinearEnumerateFunction(*args)	Linear enumerate function.
HyperbolicAnisotropicEnumerateFunction(*args)	Hyperbolic and anisotropic enumerate function.
NormInfEnumerateFunction(*args)	Infinite norm enumerate function.