4 papers
Sharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distribution
Chandan Biswas, Emanuel Carneiro, Taryn C. Flock +4
We identify the optimal constant and describe all maximizers for the Fourier endpoint extension inequality associated with the moment curve over finite fields. This confirms a conj…
Sharp endpoint extension inequalities for the moment curve on finite fields
Chandan Biswas, Emanuel Carneiro, Taryn C. Flock +3
We investigate the sharp endpoint extension inequality for the moment curve in finite fields. We determine the optimal constant and characterize the maximizers in two complementary…
Sharp Fourier restriction to monomial curves
Chandan Biswas, Betsy Stovall
We establish lower bounds for the operator norms of the Fourier restriction/extension operators associated to monomial curves with affine arclength measure. Furthermore, we prove t…
Approximate Nearest Neighbour Search on Privacy-aware Encoding of User Locations to Identify Susceptible Infections in Simulated Epidemics
Chandan Biswas, Debasis Ganguly, Ujjwal Bhattacharya
Amidst an increasing number of infected cases during the Covid-19 pandemic, it is essential to trace, as early as possible, the susceptible people who might have been infected by t…