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math.AP2014★ 2 cited
Explicit error estimates for the stationary phase method II: Interaction of amplitude singularities with stationary points
F. Ali Mehmeti, F. Dewez
In this paper, we improve slightly Erdélyi's version of the stationary phase method by replacing the employed smooth cut-off function by a characteristic function, leading to more…
math.AP2014★ 3 cited
Explicit error estimates for the stationary phase method I: The influence of amplitude singularities
F. Ali Mehmeti, F. Dewez
We consider a version of the stationary phase method in one dimension of A. Erdélyi, allowing the phase to have stationary points of non-integer order and the amplitude to have int…