1. Introduction

2. VIPERS
2.1. Angular masks and incompleteness
2.2. Mock catalogues

3. Methodology

4. Modelling the galaxy power spectrum

5. Likelihood Analysis
5.1. Covariance matrix
5.2. Overall Consistency test

6. Results
6.1. The VIPERS galaxy power spectrum
6.2. Constraints on the matter density parameter and the baryon fraction
6.3. Stability of the estimates with scale
6.4. Consistency with VIPERS PDR-1 estimates in configuration space

7. Discussion and Conclusions
7.1. Comparison with previous redshift surveys
7.2. Combined constraints
7.3. Summary and Conclusions