Search Results - "Alpay, D"

Aharonov–Berry superoscillations in the radial harmonic oscillator potential by Alpay, D., Colombo, F., Sabadini, I., Struppa, D. C.

“…In this paper, we study the evolutions of Aharonov–Berry superoscillations under the radial harmonic oscillator potential. For this model, we know the Green…”
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Gleason's problem associated to the fractional Cauchy-Riemann operator, Fueter series, Drury-Arveson space and related topics by ALPAY, D., CEREJEIRAS, P., KÄHLER, U.

“…In this paper we present the building blocks for a function theory based on fractional Cauchy-Riemann operators. We are going to construct basic monogenic…”
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On Nudel’man’s Problem and Indefinite Interpolation in the Generalized Schur and Nevanlinna Classes by Alpay, D., Dijksma, A., Rovnyak, J.

“…This work is a revised and corrected version of the authors’ joint paper with T. Constantinescu (Trans Am Math Soc 355:813–836, 2003). Some of the theorems…”
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Gleason’s Problem Associated to a Real Ternary Algebra and Applications by Alpay, D., Vajiac, A., Vajiac, M. B.

“…This paper is an introduction of a new class of analytic functions defined on a ternary algebra, a three dimensional structure different from C × R , i.e. a…”
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Infinite-order Differential Operators Acting on Entire Hyperholomorphic Functions by Alpay, D., Colombo, F., Pinton, S., Sabadini, I., Struppa, D. C.

“…Infinite-order differential operators appear in different fields of mathematics and physics and in the past decade they turned out to be of fundamental…”
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Cascade representation and minimal factorization of multidimensional systems by Alpay, D., Dubi, C.

“…We give necessary and sufficient conditions for both the existence of minimal factorization of a rational function of N complex variables and the cascade…”
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A realization theorem for rational functions of several complex variables by Alpay, D., Dubi, C.

“…We prove a realization theorem for rational functions of several complex variables…”
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On commuting operators solving Gleason's problem by ALPAY, D, DUBI, C

“…We prove the uniqueness of commuting operators solving Gleason's problem for certain spaces of functions analytic in the unit ball…”
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Jł-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting by ALPAY, D, DIJKSMA, A, LANGER, H

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A trace formula for canonical differential expressions by Alpay, D., Gohberg, I.

“…We prove a trace formula for pairs of self-adjoint operators associated to canonical differential expressions. An important role is played by the associated…”
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Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball by Alpay, D., Dubi, C.

“…Recently Bolotnikov and Rodman characterized finite dimensional backward shift invariant subspaces of the Arveson space. In this note we study finite…”
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Carathéodory Fejér interpolation in the ball with mixed derivatives by Alpay, D, Dubi, C

“…We use reproducing kernel Hilbert space methods to solve a Carathéodory–Fejér type interpolation problem with mixed derivatives (corresponding to a so-called…”
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A structure theorem for reproducing kernel Pontryagin spaces by Alpay, D.

“…We illustrate a relationship between reproducing kernel spaces and orthogonal polynomials via a general structure theorem. The Christofell-Darboux formula…”
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Factorization of J-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions by Alpay, D, Dijksma, A, Langer, H

“…We prove that a 2×2 matrix polynomial which is J-unitary on the real line can be written as a product of normalized elementary J-unitary factors and a…”
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Carathéodory-Fejér interpolation in the ball by Alpay, D., Dubi, C.

“…We use the theory of reproducing kernel Hilbert spaces to solve a Carathéodory–Fejér interpolation problem in the class of Schur multipliers of the reproducing…”
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Inverse Spectral Problem for Differential Operators with Rational Scattering Matrix Functions by Alpay, D., Gohberg, I.

“…In this paper we obtain explicit formulas for the potential of an ordinary differential operator if its spectral function or its scattering functions are…”
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Notes on interpolation in the generalized Schur class. II. Nudel'man's problem by ALPAY, D, CONSTANTINESCU, T, DIJKSMA, A, ROVNYAK, J

“…An indefinite generalization of Nudel'man's problem is used in a systematic approach to interpolation theorems for generalized Schur and Nevanlinna functions…”
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Interpolation theory in sectorial Stieltjes classes and explicit system solutions by Alpay, D., Tsekanovskii, E.

“…We introduce sectorial classes of matrix-valued Stieltjes functions in which we solve the bitangential interpolation problem of Nudelman and…”
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Interpolation and approximation of quasiseparable systems: the Schur-Takagi case by Alpay, D., Dewilde, P., Volok, D.

“…We explore how the classical Schur-Takagi interpolation theory as developed by Chamfy, Krein and Langer and Alpay, Azizov, Dijksma, and Langer generalizes to…”
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Some Extensions of Loewner's Theory of Monotone Operator Functions by Alpay, D., Bolotnikov, V., Dijksma, A., Rovnyak, J.

“…Several extensions of Loewner's theory of monotone operator functions are given. These include a theorem on boundary interpolation for matrix-valued functions…”
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