Rigged de Branges–Pontryagin spaces and their application to extensions and embedding

Journal of Functional Analysis ◽

10.1016/j.jfa.2018.10.018 ◽

2019 ◽

Vol 277 (1) ◽

pp. 31-110

Author(s):

Vladimir Derkach ◽

Harry Dym

Keyword(s):

Pontryagin Spaces

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Pontryagin Spaces and Operator Colligations

Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces ◽

10.1007/978-3-0348-8908-7_1 ◽

1997 ◽

pp. 1-40

Author(s):

Daniel Alpay ◽

Aad Dijksma ◽

James Rovnyak ◽

Hendrik de Snoo

Keyword(s):

Pontryagin Spaces

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Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces

Journal of Functional Analysis ◽

10.1016/j.jfa.2020.108776 ◽

2021 ◽

Vol 280 (2) ◽

pp. 108776

Author(s):

Volodymyr Derkach ◽

Harry Dym

Keyword(s):

Pontryagin Spaces ◽

Functional Models ◽

Symmetric Operators

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Realization and Factorization in Reproducing Kernel Pontryagin Spaces

Operator Theory, System Theory and Related Topics ◽

10.1007/978-3-0348-8247-7_3 ◽

2001 ◽

pp. 43-65

Author(s):

D. Alpay ◽

A. Dijksma ◽

J. Rovnyak ◽

H. S. V. de Snoo

Keyword(s):

Reproducing Kernel ◽

Pontryagin Spaces

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Hermitian indefinite functions and Pontryagin spaces of entire functions

Integral Equations and Operator Theory ◽

10.1007/bf01196382 ◽

1999 ◽

Vol 35 (2) ◽

pp. 172-197 ◽

Author(s):

Michael Kaltenb�ck

Keyword(s):

Entire Functions ◽

Pontryagin Spaces

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On the basis properties of systems of root vectors of operators that are almost self-adjoint in Pontryagin spaces

Mathematical Notes ◽

10.1007/bf02304567 ◽

1995 ◽

Vol 57 (6) ◽

pp. 665-667

Author(s):

I. A. Sheipak

Keyword(s):

Pontryagin Spaces

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Nevanlinna Type Theorems and Multi-Parameter Compressed Resolvents in PONTRYAGIN Spaces

Mathematische Nachrichten ◽

10.1002/mana.19921550107 ◽

1992 ◽

Vol 155 (1) ◽

pp. 73-97

Author(s):

El Hassan Youssfi

Keyword(s):

Pontryagin Spaces

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A structure theorem for reproducing kernel Pontryagin spaces

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00174-5 ◽

1998 ◽

Vol 99 (1-2) ◽

pp. 413-422 ◽

Author(s):

D. Alpay

Keyword(s):

Reproducing Kernel ◽

Structure Theorem ◽

Pontryagin Spaces

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Hermitian Block Toeplitz Matrices, Orthogonal Polynomials, Reproducing Kernel Pontryagin Spaces, Interpolation and Extension

Orthogonal Matrix-valued Polynomials and Applications - Operator Theory: Advances and Applications ◽

10.1007/978-3-0348-5472-6_5 ◽

1988 ◽

pp. 79-135 ◽

Author(s):

Harry Dym

Keyword(s):

Orthogonal Polynomials ◽

Reproducing Kernel ◽

Toeplitz Matrices ◽

Block Toeplitz Matrices ◽

Pontryagin Spaces

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Two-Isometries on Pontryagin Spaces

Integral Equations and Operator Theory ◽

10.1007/s00020-008-1582-9 ◽

2008 ◽

Vol 61 (2) ◽

pp. 211-239 ◽

Author(s):

Christian Hellings

Keyword(s):

Pontryagin Spaces

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Abstract scattering scheme of Lax and Phillips in Pontryagin spaces

Sbornik Mathematics ◽

10.1070/sm1996v187n10abeh000166 ◽

1996 ◽

Vol 187 (10) ◽

pp. 1503-1523

Author(s):

S A Kuzhel'

Keyword(s):

Pontryagin Spaces

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