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Daniel Aron Alpay
Daniel Aron Alpay
Professor of Mathematics, Chapman University, Orange, CA
Verified email at chapman.edu - Homepage
Title
Cited by
Cited by
Year
Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
D Alpay
Springer Science & Business Media, 1997
3471997
Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis
D Alpay, ME Luna-Elizarrarás, M Shapiro, DC Struppa
Springer Science & Business Media, 2014
2292014
Slice hyperholomorphic Schur analysis
D Alpay, F Colombo, I Sabadini
Birkhäuser, 2016
1972016
On Applications of Reproducing Kernel Spaces to the Schur Algorithm and Rational J Unitary Factorization
D Alpay, H Dym
I. Schur methods in operator theory and signal processing, 89-159, 1986
1761986
Reproducing kernel spaces and applications
D Alpay
Birkhäuser, 2012
1652012
The Schur algorithm, reproducing kernel spaces and system theory
D Alpay
American Mathematical Soc., 2001
1582001
Unitary rational matrix functions
D Alpay, I Gohberg
Topics in interpolation theory of rational matrix-valued functions, 175-222, 1988
1551988
The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
D Alpay, F Colombo, DP Kimsey
Journal of Mathematical Physics 57 (2), 023503, 2016
1382016
Hilbert spaces of analytic functions, inverse scattering and operator models. I
D Alpay, H Dym
Integral equations and operator theory 7 (5), 589-641, 1984
1341984
Lossless inverse scattering and reproducing kernels for upper triangular operators
D Alpay, P Dewilde, H Dym
Extension and interpolation of linear operators and matrix functions, 61-135, 1990
1111990
Schur functions and their realizations in the slice hyperholomorphic setting
D Alpay, F Colombo, I Sabadini
Integral Equations and Operator Theory 72 (2), 253-289, 2012
1092012
Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
D Alpay, F Colombo, I Sabadini
Journal d'Analyse Mathématique 121 (1), 87-125, 2013
962013
Interpolation problems, extensions of symmetric operators and reproducing kernel spaces II
D Alpay, P Bruinsma, A Dijksma, H de Snoo
Integral equations and operator theory 14 (4), 465-500, 1991
84*1991
The Fock space in the slice hyperholomorphic setting
D Alpay, F Colombo, I Sabadini, G Salomon
Hypercomplex analysis: new perspectives and applications, 43-59, 2013
832013
On a new class of structured reproducing kernel spaces
D Alpay, H Dym
Journal of functional analysis 111 (1), 1-28, 1993
821993
A New Resolvent Equation for the -Functional Calculus
D Alpay, F Colombo, J Gantner, I Sabadini
The Journal of Geometric Analysis 25 (3), 1939-1968, 2015
792015
Some remarks on reproducing kernel Krein spaces
D Alpay
The Rocky Mountain Journal of Mathematics, 1189-1205, 1991
761991
Algorithme de Schur, espaces à noyau reproduisant et théorie des systèmes
D Alpay
Société mathématique de France, 1998
731998
The Spectral Theorem for Unitary Operators Based on the S-Spectrum
D Alpay, F Colombo, DP Kimsey, I Sabadini
Milan Journal of Mathematics 84 (1), 41-61, 2016
712016
Inverse spectral problem for differential operators with rational scattering matrix functions
D Alpay, I Gohberg
Journal of differential equations 118 (1), 1-19, 1995
681995
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Articles 1–20