Table 3: Normalizing amplitudes $\phi _0$ and $\phi ^*$ of the Gaussian and Schechter components of the early-type, intermediate-type and non-evolving late-type luminosity functions of the ESO-Sculptor survey, in the Johnson-Cousins B, V and $R_{\rm c}$ bands.
  ( $\Omega_{\rm m}$,  $\Omega_\Lambda)=(0.3$, 0.7) ( $\Omega_{\rm m}$,  $\Omega_\Lambda)=(1.0$, 0.0)
  Early-type Intermediate-type Late-type Early-type Intermediate-type Late-type
   $\phi _0$   $\phi _0$   $\phi ^*$   $\phi _0$   $\phi ^*$   $\phi _0$   $\phi _0$   $\phi ^*$   $\phi _0$   $\phi ^*$ 
$R_{\rm c}\le 21.5$   0.00310   0.00296   0.00387   0.00339   0.03678   0.00504   0.00489   0.00639   0.00520   0.05649 
$V\le 21.0$   0.00323   0.00287   0.00375   0.00271   0.02939   0.00497   0.00444   0.00581   0.00410   0.04450 
$B\le 22.0$   0.00344   0.00294   0.00385   0.00299   0.03247   0.00523   0.00458   0.00600   0.00457   0.04961 
Notes:
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The listed values of $\phi _0$ and $\phi ^*$ are in units of  h3 Mpc-3 mag-1, and are obtained with  H0 = 100 h km s-1 Mpc-1.
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$\phi _0$ and $\phi ^*$ are calculated by normalizing the integral of the expected redshift distribution with the listed apparent magnitude limit to the observed number of galaxies in the interval  $0.01\le z\le 0.81$ (see Sect. 7).
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The value of $\phi ^*$ for the intermediate-type and late-type galaxies is related to the corresponding value of $\phi _0$ by the ratio  $\phi_0/0.4\ln10\;\phi^*$, listed in Table 1.

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