3 papers
math.FA2013
Infinite product representations for kernels and iterations of functions
D. Alpay, P. Jorgensen, I. Lewkowicz +1
We study infinite products of reproducing kernels with view to their use in dynamics (of iterated function systems), in harmonic analysis, and in stochastic processes. On the way,…
math.CV2012
Interpolation by polynomials with symmetries on the imaginary axis
Daniel Alpay, Izchak Lewkowicz
We here specialize the standard matrix-valued polynomial interpolation to the case where on the imaginary axis the interpolating polynomials admit various symmetries: Positive semi…
math.CV2011
Extending wavelet filters. Infinite dimensions, the non-rational case, and indefinite-inner product spaces
Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz
In this paper we are discussing various aspects of wavelet filters. While there are earlier studies of these filters as matrix valued functions in wavelets, in signal processing, a…