11 citations · 26 across the 16 of their papers we have counts for
16 papers
Rational discrete analytic functions on a rhombic lattice
Daniel Alpay, Zubayir Kazi, Mariana Tecalero +1
A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete analytic functions that are…
Discrete analytic functions, structured matrices and a new family of moment problems
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
Using Zeilberger generating function formula for the values of a discrete analytic function in a quadrant we make connections with the theory of structured reproducing kernel space…
Schur analysis and discrete analytic functions: Rational functions and co-isometric realizations
Daniel Alpay, Dan Volok
We define and study rational discrete analytic functions and prove the existence of a coisometric realization for discrete analytic Schur multipliers.
Discrete analytic Schur functions
Daniel Alpay, Dan Volok
We introduce the Schur class of functions, discrete analytic on the integer lattice in the complex plane. As a special case, we derive the explicit form of discrete analytic Blasch…
A new realization of rational functions, with applications to linear combination interpolation
Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz +1
We introduce the following linear combination interpolation problem (LCI): Given distinct numbers and complex numbers and , find all…
On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces
Daniel Alpay, Palle Jorgensen, Ron Seager +1
We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this f…