  In this work, we analyze the convergence rate of randomized quasi-Monte Carlo
(RQMC) methods under Owen's boundary growth condition [Owen, 2006] via spectral
analysis. Specifically, we examine the RQMC estimator variance for the two
commonly studied sequences: the lattice rule and the Sobol' sequence, applying
the Fourier transform and Walsh--Fourier transform, respectively, for this
analysis. Assuming certain regularity conditions, our findings reveal that the
asymptotic convergence rate of the RQMC estimator's variance closely aligns
with the exponent specified in Owen's boundary growth condition for both
sequence types. We also provide analysis for certain discontinuous integrands.
