منابع مشابه
Nevanlinna - Pick Interpolation For
We study the Nevanlinna-Pick problem for a class of subalgebras of H∞. This class includes algebras of analytic functions on embedded disks, the algebras of finite codimension in H∞ and the algebra of bounded analytic functions on a multiply connected domain. Our approach uses a distance formula that generalizes Sarason’s [18] work. We also investigate the difference between scalar-valued and m...
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We consider the robust control problem for the system with real uncertainty. This type of problem can be represented with some parameters varying between the boundaries and is formulated as parametric Nevanlinna-Pick interpolation problem in this paper. The existence of a solution for such interpolation problem depends on the positivity of the corresponding Pick matrix with elements belonging t...
متن کاملSpectral Factorization and Nevanlinna - Pick Interpolation *
We develop a spectral factorization algorithm based on linear fractional transformations and on the Nevanlinna-Pick interpolation theory. The algorithm is recursive and depends on a choice of points (Zk, k 1, 2, ") inside the unit disk. Under a mild condition on the distribution of the zk's, the convergence of the algorithm is established. The algorithm is flexible and convergence can be influe...
متن کاملNevanlinna-pick Interpolation for C + Bh ∞
In this paper we will consider the Nevanlinna-Pick problem for a class of subalgebras of H∞. Let us assume that we are given n points z1, . . . , zn ∈ D, n complex numbers w1, . . . , wn and a subalgebra A of H ∞. We will say that a function f ∈ A, interpolates the values z1, . . . , zn to w1, . . . , wn if and only if ‖f‖∞ ≤ 1 and f(zj) = wj . Such an f will be called an interpolating function...
متن کاملA Constrained Nevanlinna-pick Interpolation Problem
We obtain necessary and sufficient conditions for NevanlinnaPick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy f ′(0) = 0. Alternatively, these results can be interpreted as interpolation results for H∞(V ), where V is the intersection of the bidisk with an algebraic variety. We use an analysis of C*-envelopes to show that these...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2017
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13755