Boundary interpolation and rigidity for generalized Nevanlinna functions

Daniel Alpay; Aad Dijksma; Heinz Langer; Simeon Reich; David Shoikhet

doi:10.1002/mana.200910135

Boundary interpolation and rigidity for generalized Nevanlinna functions

Mathematische Nachrichten ◽

10.1002/mana.200910135 ◽

2010 ◽

Vol 283 (3) ◽

pp. 335-364 ◽

Cited By ~ 7

Author(s):

Daniel Alpay ◽

Aad Dijksma ◽

Heinz Langer ◽

Simeon Reich ◽

David Shoikhet

Keyword(s):

Boundary Interpolation ◽

Nevanlinna Functions

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Comparison of boundary interpolation methods on the geometrical modeling of viscosity for CaO-Al2O3-SiO2 melts

Journal of Non-Crystalline Solids ◽

10.1016/j.jnoncrysol.2021.120782 ◽

2021 ◽

Vol 562 ◽

pp. 120782

Author(s):

Xiaomin Zha ◽

Dexiang Hou ◽

Zhigang Yu ◽

Jieyu Zhang ◽

Kuochih Chou

Keyword(s):

Boundary Interpolation ◽

Geometrical Modeling ◽

Interpolation Methods

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Realizations of Herglotz-Nevanlinna Functions via F-systems

Operator Methods in Ordinary and Partial Differential Equations ◽

10.1007/978-3-0348-8219-4_14 ◽

2002 ◽

pp. 183-198 ◽

Cited By ~ 1

Author(s):

Seppo Hassi ◽

Henk de Snoo ◽

Eduard Tsekanovskiĭ

Keyword(s):

Nevanlinna Functions

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Realization of Herglotz–Nevanlinna Functions by Conservative Systems

Operator Theory ◽

10.1007/978-3-0348-0667-1_50 ◽

2015 ◽

pp. 779-809

Author(s):

Yury Arlinskiı̆ ◽

Sergey Belyi ◽

Eduard Tsekanovskiı̆

Keyword(s):

Conservative Systems ◽

Nevanlinna Functions

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A subclass of boundary measures and the convex combination problem for Herglotz--Nevanlinna functions in several variables

Acta Scientiarum Mathematicarum ◽

10.14232/actasm-018-040-1 ◽

2019 ◽

Vol 85 (34) ◽

pp. 441-472 ◽

Cited By ~ 2

Author(s):

Mitja Nedic

Keyword(s):

Convex Combination ◽

Combination Problem ◽

Several Variables ◽

Nevanlinna Functions

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Nonlinear potential theory on the ball, with applications to exceptional and boundary interpolation sets.

10.1307/mmj/1029005154 ◽

1995 ◽

Vol 42 (1) ◽

pp. 79-97 ◽

Cited By ~ 7

Author(s):

W. S. Cohn ◽

I. E. Verbitsky

Keyword(s):

Potential Theory ◽

Nonlinear Potential Theory ◽

Boundary Interpolation ◽

Nonlinear Potential

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Convergence of generalized Nevanlinna functions

Acta Scientiarum Mathematicarum ◽

10.1007/bf03643925 ◽

2011 ◽

Vol 77 (3-4) ◽

pp. 425-437

Author(s):

Heinz Langer ◽

Annemarie Luger ◽

Vladimir Matsaev

Keyword(s):

Nevanlinna Functions

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Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation

Spectral Theory in Inner Product Spaces and Applications ◽

10.1007/978-3-7643-8911-6_1 ◽

2008 ◽

pp. 1-30 ◽

Cited By ~ 3

Author(s):

D. Alpay ◽

A. Dijksma ◽

H. Langer

Keyword(s):

Nevanlinna Functions ◽

Schur Parameters

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Jℓ-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting

Linear Algebra and its Applications ◽

10.1016/j.laa.2006.06.010 ◽

2006 ◽

Vol 419 (2-3) ◽

pp. 675-709 ◽

Cited By ~ 6

Author(s):

D. Alpay ◽

A. Dijksma ◽

H. Langer

Keyword(s):

Schur Algorithm ◽

Nevanlinna Functions

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The factorization of generalized Nevanlinna functions and the invariant subspace property

Indagationes Mathematicae ◽

10.1016/j.indag.2018.08.002 ◽

2019 ◽

Vol 30 (1) ◽

pp. 26-38

Author(s):

Hendrik Luit Wietsma

Keyword(s):

Invariant Subspace ◽

Nevanlinna Functions

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Boundary Interpolation by Finite Blaschke Products

Trends in Mathematics - Complex Analysis and Dynamical Systems ◽

10.1007/978-3-319-70154-7_3 ◽

2017 ◽

pp. 39-65 ◽

Cited By ~ 1

Author(s):

Vladimir Bolotnikov

Keyword(s):

Blaschke Products ◽

Boundary Interpolation ◽

Finite Blaschke Products

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