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Weak convergence of the function-indexed integrated periodogram for infinite variance processes
Weak convergence the function-indexed integrated periodogram
2010/11/24
In this paper, we study the weak convergence of the integrated periodogram indexed by classes of functions for linear processes with symmetric $\alpha$-stable innovations. Under suitable summability ...
A Dilution Test for the Convergence of Subseries of a Monotone Series
Convergence Subseries of a Monotone Series
2010/11/24
Cauchy's condensation test allows to determine the convergence of a monotone series by looking at a weighted subseries that only involves terms of the original series indexed by the powers of two. It ...
Lyapunov's method proves convergence to equilibrium for a thin film equation
Lyapunov's method proves convergence to equilibrium thin film equation
2010/11/15
The degenerate parabolic equation u_t + [u^3(u_xxx + u_x - sin x)]_x=0 with periodic boundary conditions models the evolution of a thin liquid film on a stationary horizontal cylinder. The equation d...
Convergence of Bieberbach polynomials in domains with interior cusps
Bieberbach polynomials domains interior cusps
2010/10/29
We extend the results on the uniform convergence of Bieberbach polynomials to domains with certain interior zero angles (outward pointing cusps), and show that they play a special role in the problem....