3 papers
math.CA2018
Discrete fractional integral operators with binary quadratic forms as phase polynomials
Faruk Temur, Ezgi Sert
We give estimates on discrete fractional integral operators along binary quadratic forms. These operators have been studied for 30 years starting with the investigations of Arkhipo…
math.CA2017
Level set estimates for the discrete frequency function
Faruk Temur
We introduce the discrete frequency function as a possible new approach to understanding the discrete Hardy-Littlewood maximal function. Considering that the discrete Hardy-Littlew…
math.CA2016
A quantitative Balian-Low theorem for higher dimensions
Faruk Temur
We extend the quantitative Balian-Low theorem of Nitzan and Olsen to higher dimensions.