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Daniel Alpay
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- affiliation: Chapman University, CA, USA
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2020 – today
- 2023
- [j11]Daniel Alpay, Kamal Diki, Mihaela Vajiac:
A note on the complex and bicomplex valued neural networks. Appl. Math. Comput. 445: 127864 (2023) - [j10]Daniel Alpay, Palle E. T. Jorgensen, Izchak Lewkowicz:
Representation theory and multilevel filters. J. Appl. Math. Comput. 69(2): 1599-1657 (2023) - [j9]Mor Ngom, Daniel Alpay, Mamadou Mboup:
Scale-Shift and Harmonic analysis approach to the Mellin transform for Discrete-time signals. Signal Process. 204: 108830 (2023) - [i4]Daniel Alpay, Antonino De Martino, Kamal Diki, Mihaela Vajiac:
The Bicomplex Tensor Product, a Bicomplex Choi Theorem and Applications. CoRR abs/2305.12742 (2023) - 2022
- [j8]Daniel Alpay, Palle E. T. Jorgensen:
Reflection positivity via Krein space analysis. Adv. Appl. Math. 141: 102411 (2022) - [i3]Daniel Alpay, Kamal Diki, Mihaela Vajiac:
A note on the complex and bicomplex valued neural networks. CoRR abs/2202.02354 (2022) - [i2]Daniel Alpay, Kamal Diki, Mihaela Vajiac:
Two Bicomplex Least Mean Square (BLMS) algorithms. CoRR abs/2209.11899 (2022)
2010 – 2019
- 2016
- [j7]Daniel Alpay, Fabrizio Colombo, David P. Kimsey, Irene Sabadini:
Quaternion-valued positive definite functions on locally compact Abelian groups and nuclear spaces. Appl. Math. Comput. 286: 115-125 (2016) - 2011
- [j6]Daniel Alpay, Izchak Lewkowicz:
The positive real lemma and construction of all realizations of generalized positive rational functions. Syst. Control. Lett. 60(12): 985-993 (2011) - [i1]Daniel Alpay, Palle E. T. Jorgensen, Izchak Lewkowicz:
Easy-to-compute parameterizations of all wavelet filters: input-output and state-space. CoRR abs/1105.0256 (2011) - 2010
- [j5]Daniel Alpay, Izchak Lewkowicz:
An easy-to-compute factorization of rational generalized positive functions. Syst. Control. Lett. 59(9): 517-521 (2010) - [j4]Daniel Alpay, David Levanony, Ariel Pinhas:
Linear Stochastic State Space Theory in the White Noise Space Setting. SIAM J. Control. Optim. 48(8): 5009-5027 (2010)
2000 – 2009
- 2009
- [c2]Daniel Alpay, David Levanony:
A white noise approach to linear stochastic systems. nDS 2009: 1-3 - [c1]Daniel Alpay, Mamadou Mboup:
A natural transfer function space for linear discrete time-invariant and scale-invariant systems. nDS 2009: 1-4 - 2008
- [j3]Daniel Alpay, Chen Dubi:
Cascade representation and minimal factorization of multidimensional systems. Syst. Control. Lett. 57(10): 796-799 (2008) - 2003
- [j2]Daniel Alpay, Chen Dubi:
A realization theorem for rational functions of several complex variables. Syst. Control. Lett. 49(3): 225-229 (2003)
1980 – 1989
- 1989
- [j1]Daniel Alpay, Patrick M. Dewilde, Harry Dym:
On the existence and construction of solutions to the partial lossless inverse scattering problem with applications to estimation theory. IEEE Trans. Inf. Theory 35(6): 1184-1205 (1989)
Coauthor Index
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