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NORM RETRIEVAL FROM SPATIOTEMPORAL SAMPLES
(2018-12)
The goal of this dissertation is to investigate norm retrievable frames having dynamical sampling structure, particularly those that fail the phase retrieval con- dition. We give several classifications to show how to ...
On Klingen Eisenstein series with levels
(2018-05)
We give a representation theoretic approach to the Klingen lift generalizing the classical construction of Klingen Eisenstein series to arbitrary level for both paramodular and Siegel congruence subgroups.
Moreover, ...
Two-boundary centralizer algebras for q(n)
(2018-08)
We define the degenerate two boundary affine Hecke-Clifford algebra $\mathcal{H}_d$, and show it admits a well-defined $\mathfrak{q}(n)$-linear action on the tensor space $M\otimes N\otimes V^{\otimes d}$, where $V$ is the ...
Dehn functions of subgroups of right-angled Artin groups
(2018-05)
The question of what is a possible range for the Dehn functions (a.k.a. isoperimetric spectrum) for certain classes of groups is a natural and interesting one. Due to works of many authors starting with Gromov, we know a ...