Search Results - "VOLOK, DAN"

Relative reproducing kernel Hilbert spaces by ALPAY, DANIEL, JORGENSEN, PALLE, VOLOK, DAN

“…We introduce a reproducing kernel structure for Hilbert spaces of functions where differences of point evaluations are bounded. The associated reproducing…”
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Schur analysis and discrete analytic functions: Rational functions and co-isometric realizations by Alpay, Daniel, Volok, Dan

“…We define and study rational discrete analytic functions and prove the existence of a coisometric realization for discrete analytic Schur multipliers…”
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Discrete analytic functions, structured matrices and a new family of moment problems by Alpay, Daniel, Colombo, Fabrizio, Diki, Kamal, Sabadini, Irene, Volok, Dan

“…Using Zeilberger generating function formula for the values of a discrete analytic function in a quadrant we make connections with the theory of structured…”
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On discrete analytic functions: Products, rational functions and reproducing kernels by Alpay, Daniel, Jorgensen, Palle, Seager, Ron, Volok, Dan

“…We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define…”
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A new realization of rational functions, with applications to linear combination interpolation, the Cuntz relations and kernel decompositions by Alpay, Daniel, Jorgensen, Palle, Lewkowicz, Izchak, Volok, Dan

“…We introduce the following linear combination interpolation problem (LCI), which in case of simple nodes reads as follows: given distinct numbers and complex…”
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Zero distribution of matrix polynomials by Dym, Harry, Volok, Dan

“…The theory of finite dimensional reproducing kernel Krein spaces is exploited to obtain matrix analogues of the Schur–Cohn theorem and the Hermite theorem on…”
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Schur analysis and discrete analytic functions: Rational functions and co-isometric realizations by Alpay, Daniel, Volok, Dan

“…We define and study rational discrete analytic functions and prove the existence of a coisometric realization for discrete analytic Schur multipliers…”
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Discrete analytic Schur functions by Alpay, Daniel, Volok, Dan

“…We introduce the Schur class of functions, discrete analytic on the integer lattice in the complex plane. As a special case, we derive the explicit form of…”
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Carathéodory–Fejér interpolation in locally convex topological vector spaces by Alpay, Daniel, Timoshenko, Olga, Volok, Dan

“…We study Carathéodory–Herglotz functions whose values are continuous operators from a locally convex topological vector space which admits the factorization…”
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Carathéodory functions in the Banach space setting by Alpay, Daniel, Timoshenko, Olga, Volok, Dan

“…We prove representation theorems for Carathéodory functions in the setting of Banach spaces…”
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A Schur transformation for functions in a general class of domains by Alpay, Daniel, Dijksma, Aad, Langer, Heinz, Volok, Dan

“…In this paper we present a framework in which the Schur transformation and the basic interpolation problem for generalized Schur functions, generalized…”
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Operator Valued Functions with Pick Operators Having Negative Subspaces of Bounded Dimensions by Rodman, Leiba, Volok, Dan

“… Functions whose values are bounded linear Hilbert space operators (each operator may be defined on its own subspace of the ambient Hilbert space), the domain…”
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Rational discrete analytic functions on a rhombic lattice by Alpay, Daniel, Kazi, Zubayir, Tecalero, Mariana, Volok, Dan

“…A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete…”
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SCHUR MULTIPLIERS AND DE BRANGES–ROVNYAK SPACES: THE MULTISCALE CASE by ALPAY, DANIEL, DIJKSMA, AAD, VOLOK, DAN

“…We consider bounded linear operators acting on the ℓ2 space indexed by the nodes of a homogeneous tree. Using the Cuntz relations between the primitive shifts…”
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Generalized Schur Functions and Related de Branges-Rovnyak Spaces in the Banach Space Setting by Alpay, Daniel, Timoshenko, Olga, Vegulla, Prasad, Volok, Dan

“… We study the analogues of de Branges-Rovnyak spaces in the Banach space case. An important role is played by self-adjoint operators from the dual of a Banach…”
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Rational hyperholomorphic functions in R 4 by Alpay, Daniel, Shapiro, Michael, Volok, Dan

“…We introduce the notion of rationality for hyperholomorphic functions (functions in the kernel of the Cauchy–Fueter operator). Following the case of one…”
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Discrete analytic functions, structured matrices and a new family of moment problems by Alpay, Daniel, Colombo, Fabrizio, Diki, Kamal, Sabadini, Irene, Volok, Dan

“…Using Zeilberger generating function formula for the values of a discrete analytic function in a quadrant we make connections with the theory of structured…”
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Point Evaluation and Hardy Space on a Homogeneous Tree by Alpay, Daniel, Volok, Dan

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Deformations of Fuchsian Systems of Linear Differential Equations and the Schlesinger System by Katsnelson, Victor, Volok, Dan

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Realization theorems for stationary multiscale systems by Alpay, Daniel, Attia, Haim, Volok, Dan

“…We construct coisometric and quasi-coisometric realizations for transfer operators of multiscale causal stationary dissipative systems…”
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