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Coherent transport through a quantum dot embedded in one arm ora double-slit-like Aharonov-Bohm (AB) ringis studied using the Greens function approach. We obtain experimental observations such as continuous phaseshift along a single resonance peak and sharp inter-resonance phase drop. The AB oscillations of the differentialconductance of the whole device are calculated by using the nonequilibrium Keldysh formalism. It is shown thatthe oscillating conductance has a continuous bias-voltage-dependent phase shift and is asymmetric in both linearand nonlinear response regimes.