Alpay, Daniel; Lewkowicz, Izchak; Vajiac, Mihaela Discrete Wiener algebra in the bicomplex setting, spectral factorization with symmetry, and superoscillations. (English) Zbl 1516.30060 Anal. Math. Phys. 13, No. 3, Paper No. 54, 32 p. (2023). MSC: 30G35 47A57 PDFBibTeX XMLCite \textit{D. Alpay} et al., Anal. Math. Phys. 13, No. 3, Paper No. 54, 32 p. (2023; Zbl 1516.30060) Full Text: DOI arXiv
Alpay, Daniel; Lewkowicz, Izchak On realization of left and right products of rational functions. (English) Zbl 1515.30019 Linear Algebra Appl. 666, 42-61 (2023). MSC: 30C10 47A68 47N70 93B11 93B15 94A40 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{I. Lewkowicz}, Linear Algebra Appl. 666, 42--61 (2023; Zbl 1515.30019) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Lewkowicz, Izchak; Sabadini, Irene On pseudo-spectral factorization over the complex numbers and quaternions. (English) Zbl 1461.30111 Linear Algebra Appl. 606, 90-126 (2020). Reviewer: Eckhard Hitzer (Tokyo) MSC: 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., Linear Algebra Appl. 606, 90--126 (2020; Zbl 1461.30111) Full Text: DOI arXiv
Alpay, Daniel; Lewkowicz, Izchak Realization of tensor product and of tensor factorization of rational functions. (English) Zbl 1423.46030 Quantum Stud. Math. Found. 6, No. 3, 269-278 (2019). MSC: 46B28 93C15 26C15 13A05 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{I. Lewkowicz}, Quantum Stud. Math. Found. 6, No. 3, 269--278 (2019; Zbl 1423.46030) Full Text: DOI arXiv
Alpay, Daniel; Lewkowicz, Izchak Composition of rational functions: state-space realization and applications. (English) Zbl 1502.47014 Linear Algebra Appl. 580, 359-383 (2019). MSC: 47A48 47B33 26C15 37F10 47N70 94C05 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{I. Lewkowicz}, Linear Algebra Appl. 580, 359--383 (2019; Zbl 1502.47014) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak Characterizations of families of rectangular, finite impulse response, para-unitary systems. (English) Zbl 1409.93022 J. Appl. Math. Comput. 54, No. 1-2, 395-423 (2017). MSC: 93B20 20H05 26C05 47A15 47B35 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Appl. Math. Comput. 54, No. 1--2, 395--423 (2017; Zbl 1409.93022) Full Text: DOI arXiv
Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak; Volok, Dan A new realization of rational functions, with applications to linear combination interpolation, the Cuntz relations and kernel decompositions. (English) Zbl 1337.30048 Complex Var. Elliptic Equ. 61, No. 1, 42-54 (2016). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 30E05 47B32 47A57 93B28 PDFBibTeX XMLCite \textit{D. Alpay} et al., Complex Var. Elliptic Equ. 61, No. 1, 42--54 (2016; Zbl 1337.30048) Full Text: DOI
Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak Realizations of infinite products, Ruelle operators and wavelet filters. (English) Zbl 1326.42040 J. Fourier Anal. Appl. 21, No. 5, 1034-1052 (2015). Reviewer: Brett Wick (St. Louis) MSC: 42C40 65T60 47A48 40A20 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Fourier Anal. Appl. 21, No. 5, 1034--1052 (2015; Zbl 1326.42040) Full Text: DOI arXiv
Alpay, Daniel; Lewkowicz, Izchak Interpolation by polynomials with symmetries. (English) Zbl 1301.41001 Linear Algebra Appl. 456, 64-81 (2014). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 47B65 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{I. Lewkowicz}, Linear Algebra Appl. 456, 64--81 (2014; Zbl 1301.41001) Full Text: DOI arXiv
Alpay, Daniel; Lewkowicz, Izchak An easy-to-compute factorization of rational generalized positive functions. (English) Zbl 1208.30051 Syst. Control Lett. 59, No. 9, 517-521 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 30H15 26C15 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{I. Lewkowicz}, Syst. Control Lett. 59, No. 9, 517--521 (2010; Zbl 1208.30051) Full Text: DOI