4 papers
Logarithmic--exponential preparation in sharply o-minimal structures
Gal Binyamini, Oded Carmon, Dmitry Novikov
We develop a complex-analytic approach to the model theory of the (real) unrestricted exponential. As a consequence we derive sharp forms of many of the foundational results for th…
Analytically generated sharply o-minimal structures
Oded Carmon
We describe a class of sharply o-minimal structures, called analytically generated structures, whose definable sets and their complexity filtration are determined by the collection…
Complex cells in sharply o-minimal structures
Gal Binyamini, Oded Carmon, Dmitry Novikov
We extend the theory of complex cells introduced by Binyamini and Novikov to the sharply o-minimal setting, obtaining cellular preparation and parameterization theorems which are p…
On Ginzburg-Kaplan gamma factors and Bessel-Speh functions for finite general linear groups
Oded Carmon, Elad Zelingher
We give a new construction of tensor product gamma factors for a pair of irreducible representations of and $\operatorname{GL}_k\left…