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8 changes: 7 additions & 1 deletion src/Multivariate/LowRankFun.jl
Original file line number Diff line number Diff line change
Expand Up @@ -7,7 +7,13 @@ export LowRankFun
"""
LowRankFun(f, space::TensorSpace)

Return an approximation to a bivariate function in low rank form.
Return an approximation to a bivariate function in a low-rank form
```math
f(x,y) = \\sum_i \\sigma_i \\phi_i(x) \\psi_i(y)
```
where ``\\sigma_i`` represent the highest singular values,
and ``\\phi_i(x)`` and ``\\psi_i(y)`` are orthogonal bases. The summation is truncated
after an acceptable tolerance is reached.

# Examples
```jldoctest
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