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We solve the problem of resonance statistics in systems with brokentime-reversal invariance by deriving the joint probability density of allresonances in the framework of a random matrix approach and calculatingexplicitly all n-point correlation functions in the complex plane. As aby-product, we establish the Ginibre-like statistics of resonances for manyopen channels. Our method is a combination of Itzykson-Zuber integration and avariant of nonlinear $\sigma-$model and can be applied when the use oforthogonal polynomials is problematic.Comment: 4 pages, no figures. Misprints corrected, some details on  single-channel and many-channel cases are adde

Systematic Analytical Approach to Correlation Functions of Resonances in Quantum Chaotic Scattering