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papers

Publications (17)

math.CA2009

Krein systems and canonical systems on a finite interval: accelerants with a jump discontinuity at the origin and continuous potentials

D. Alpay, I. Gohberg, M. A. Kaashoek +2

math.FA2001

Notes on interpolation in the generalized Schur class. II. Nudel'man's problem

D. Alpay, T. Constantinescu, A. Dijksma +1

math.CV2015

Adaptive orthonormal systems for matrix-valued functions

D. Alpay, F. Colombo, T. Qian +1

math.CV2018

Positive and generalized positive real lemma for slice hyperholomorphic functions

D. Alpay, F. Colombo, I. Lewkowicz +1

math.FA2015

The $H^\infty$ functional calculus based on the $S$-spectrum for quaternionic operators and for $n$-tuples of noncommuting operators

D. Alpay, F. Colombo, T. Qian +1

math.FA2007

The Schur transformation for Nevanlinna functions: operator representations, resolvent matrices, and orthogonal polynomials

D. Alpay, A. Dijksma, H. Langer

math.FA2013

Infinite product representations for kernels and iterations of functions

D. Alpay, P. Jorgensen, I. Lewkowicz +1

math.FA2005

Matrix-J-unitary non-commutative rational formal power series

D. Alpay, D. S. Kalyuzhnyi-Verbovetzkii

math.FA2003

Rational hyperholomorphic functions in (\mathbb R^4)

D. Alpay, M. Shapiro, D. Volok

math.CV2014

Boundary interpolation for slice hyperholomorphic Schur functions

K. Abu-Ghanem, D. Alpay, F. Colombo +2

math.PR2009

Linear State space theory in the white noise space setting

D. Alpay, D. Levanony, A. Pinhas

math.CA2009

Krein systems

D. Alpay, I. Gohberg, M. A. Kaashoek +2

math.FA2010

On the class SI of J-contractive functions intertwining solutions of linear differential equations

D. Alpay, A. Melnikov, V. Vinnikov

math.FA2014

An extension of Herglotz's theorem to the quaternions

D. Alpay, F. Colombo, D. P. Kimsey +1

math.OA2003

Spectral factorization in the non-stationary Wiener algebra

D. Alpay, H. Attia, S. Ben-Porat +1

math.SP2014

The spectral theorem for unitary operators based on the $S$-spectrum

D. Alpay, F. Colombo, D. P. Kimsey +1

math.FA2000

A note on interpolation in the generalized Schur class

D. Alpay, T. Constantinescu, A. Dijksma +1