Open Access
Table 1
List of notations used throughout this work.
| Symbol | Meaning |
|---|---|
| α | Integral over sl(λ) |
| B | Non-standard companion matrix to c |
| c | Coefficient vector of observational spectrum |
| Dk | Matrix transforming to k-derivative |
| ϕ(x) | Linear combination of Hermite functions |
| φn(x) | nth Hermite function |
| Φ(x) | Vector of values of φn(x), n = 0,…, N − 1 |
| f (u) | Observational spectrum |
| fc(u) | Continuum contribution to f(u) |
| fl(u) | Line contribution to f(u) |
| g(k)(x) | kth derivative of a function g(x) |
| i | Vector with integrals of Hermite functions |
| λ | Wavelength |
| λL | Wavelength of a narrow line |
| L(u, λ), L(u, u′) | (pseudo-)line spread function |
| N | Number of coefficients in c |
| R(λ), R(u′) | Response function |
| s(λ), s(u′) | Spectral photon distribution |
| sc(λ), sc(u′) | Continuum contribution to s(λ), s(u′) |
| sl(λ), sl(u′) | Line contribution to s(λ), s(u′) |
| Σx | Covariance matrix for vector x |
| u | Pseudo-wavelength |
| u′ | Pseudo-wavelength corresponding to λ |
| uE | Pseudo-wavelength for local extremum |
| uL | Pseudo-wavelength for spectral line |
| W | Equivalent width of a spectral line |
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