3 papers
math.SP2022
On the Fourier asymptotics of absolutely continuous measures with power-law singularities
M. Aloisio, S. L. de Carvalho, C. R. de Oliveira +1
We prove sharp estimates on the time-average behavior of the squared absolute value of the Fourier transform of some absolutely continuous measures that may have power-law singular…
math.FA2020
Generic zero-Hausdorff and one-packing spectral measures
Silas L. Carvalho, César R. de Oliveira
For some metric spaces of self-adjoint operators, it is shown that the set of operators whose spectral measures have simultaneously zero upper-Hausdorff and one lower-packing dimen…
math-ph2016
A characterization of singular packing subspaces with an application to limit-periodic operators
Silas L. Carvalho, César R. de Oliveira
A new characterization of the singular packing subspaces of general bounded self-adjoint operators is presented, which is used to show that the set of operators whose spectral meas…