On the existence and construction of solutions to the partial lossless inverse scattering problem with applications to estimation theory. - Daniel Alpay; Patrick M. Dewilde; Harry Dym (IEEE Trans. Inf. Theory, 1989)

A realization theorem for rational functions of several complex variables. - Daniel Alpay; Chen Dubi (Syst. Control. Lett., 2003)

Cascade representation and minimal factorization of multidimensional systems. - Daniel Alpay; Chen Dubi (Syst. Control. Lett., 2008)

A white noise approach to linear stochastic systems. - Daniel Alpay; David Levanony (nDS, 2009)

A natural transfer function space for linear discrete time-invariant and scale-invariant systems. - Daniel Alpay; Mamadou Mboup (nDS, 2009)

An easy-to-compute factorization of rational generalized positive functions. - Daniel Alpay; Izchak Lewkowicz (Syst. Control. Lett., 2010)

Linear Stochastic State Space Theory in the White Noise Space Setting. - Daniel Alpay; David Levanony; Ariel Pinhas (SIAM J. Control. Optim., 2010)

Easy-to-compute parameterizations of all wavelet filters: input-output and state-space - Daniel Alpay; Palle E. T. Jorgensen; Izchak Lewkowicz (CoRR, 2011)

The positive real lemma and construction of all realizations of generalized positive rational functions. - Daniel Alpay; Izchak Lewkowicz (Syst. Control. Lett., 2011)

Quaternion-valued positive definite functions on locally compact Abelian groups and nuclear spaces. - Daniel Alpay; Fabrizio Colombo; David P. Kimsey; Irene Sabadini (Appl. Math. Comput., 2016)

Reflection positivity via Krein space analysis. - Daniel Alpay; Palle E. T. Jorgensen (Adv. Appl. Math., 2022)

Two Bicomplex Least Mean Square (BLMS) algorithms. - Daniel Alpay; Kamal Diki; Mihaela Vajiac (CoRR, 2022)

The Bicomplex Tensor Product, a Bicomplex Choi Theorem and Applications. - Daniel Alpay; Antonino De Martino; Kamal Diki; Mihaela Vajiac (CoRR, 2023)

Scale-Shift and Harmonic analysis approach to the Mellin transform for Discrete-time signals. - Mor Ngom; Daniel Alpay; Mamadou Mboup (Signal Process., 2023)

Representation theory and multilevel filters. - Daniel Alpay; Palle E. T. Jorgensen; Izchak Lewkowicz (J. Appl. Math. Comput., 2023)

A note on the complex and bicomplex valued neural networks. - Daniel Alpay; Kamal Diki; Mihaela Vajiac (Appl. Math. Comput., 2023)

Similarity metrics, metrics, and conditionally negative definite functions. - Daniel Alpay; Liora Mayats-Alpay (Theor. Comput. Sci., 2025)