4 citations · 6 across the 10 of their papers we have counts for
13 papers
Plunge bounds for Fourier concentration operators: geometry, smoothing, and wave packets
Ahmadreza Azimifard
We prove a single-logarithm bound for the eigenvalues in the plunge region of Fourier concentration operators, removing the extra logarithmic factor in the Kulikov--Dam Larsen boun…
Componentwise and Measure-Sensitive Bounds for One-Dimensional Time-Frequency Localization
Ahmadreza Azimifard
We prove explicit upper bounds for the number of eigenvalues of a one-dimensional time-frequency localization operator in an open transition window. An abstract residual-energy pri…
Scale-free Hankel factorization and explicit one-dimensional plunge bounds for time-frequency localization operators
Ahmadreza Azimifard
The plunge region records the spectral transition of a time-frequency localization operator. Let be bounded measurable sets of positive measure with fini…
A Chern-Class Obstruction to Measurable Eigensections of Analytic Quasi-Periodic Bundle Cocycles
Ahmadreza Azimifard
We study linear cocycles over ergodic translations of the two-torus acting on Hermitian vector bundles described by unitary sewing matrices. For a continuous invariant complex line…
Uniform sine-kernel determinant asymptotics, tail-side quantiles, and prolate eigenvalue bounds
Ahmadreza Azimifard
Let be the one-dimensional sinc-kernel concentration operator, let , and set . We prove, uniformly for each f…
Entropy-type traces and moment expansions for the sine-kernel time-band limiting operator
Ahmadreza Azimifard
We study the sine-kernel time--band limiting operator on through the entropy-type trace , where . A Fourier…