3 citations · 6 across the 2 of their papers we have counts for
2 papers
math.SP2010★ 3 cited
Pointwise Decay of Fourier-Stieltjes transform of the Spectral Measure for Jacobi Matrices with Faster-than-Exponential Sparse Perturbations
S. L. Carvalho, D. H. U. Marchetti, W. F. Wreszinski
We consider off-diagonal Jacobi matrices with (faster-than-exponential) sparse perturbations. We prove (Theorem \ref{onehalf}) that the Fourier transform $\hat{\left\| f\right\…
math.SP2009★ 3 cited
Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension
S. L. Carvalho, D. H. U. Marchetti, W. F. Wreszinski
We show that the Hausdorff dimension of the spectral measure of a class of deterministic, i. e. nonrandom, block-Jacobi matrices may be determined exactly, improving a result of Zl…