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Boundary Value Problems, Weyl Functions, and Differential Operators

1st Edition 2020, 2020

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Antitonicity of the inverse for selfadjoint matrices, operators, and relations

Proceedings of the American Mathematical Society, 2014-08, Vol.142 (8), p.2783-2796

2014

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Limit‐point/limit‐circle classification for Hain–Lüst type equations

Mathematische Nachrichten, 2018-03, Vol.291 (4), p.652-668

2018

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Boundary relations and their Weyl families

Transactions of the American Mathematical Society, 2006-12, Vol.358 (12), p.5351-5400

2006

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Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators

Acta scientiarum mathematicarum (Szeged), 2022-08, Vol.88 (1-2), p.469-503

2022

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Extremal extensions for the sum of nonnegative selfadjoint relations

Proceedings of the American Mathematical Society, 2007-10, Vol.135 (10), p.3193-3204

2007

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An index formula for the product of linear relations

Linear algebra and its applications, 2009-11, Vol.431 (11), p.2160-2171

2009

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The Krein formula in almost Pontryagin spaces. A proof via orthogonal coupling

Indagationes mathematicae, 2018-04, Vol.29 (2), p.714-729

2018

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Factorized sectorial relations, their maximal-sectorial extensions, and form sums

Banach journal of mathematical analysis, 2019-07, Vol.13 (3), p.538-564

2019

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A GENERAL FACTORIZATION APPROACH TO THE EXTENSION THEORY OF NONNEGATIVE OPERATORS AND RELATIONS

Journal of operator theory, 2007-10, Vol.58 (2), p.351-386

2007

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Lebesgue type decompositions for linear relations and Ando’s uniqueness criterion

Acta scientiarum mathematicarum (Szeged), 2018-01, Vol.84 (3-4), p.465-507

2018

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A class of Nevanlinna functions related to singular Sturm-Liouville problems

Proceedings of the American Mathematical Society, 2006-10, Vol.134 (10), p.2885-2893

2006

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Sums, couplings, and completions of almost Pontryagin spaces

Linear algebra and its applications, 2012-07, Vol.437 (2), p.559-580

2012

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Parametrization of Contractive Block Operator Matrices and Passive Discrete-Time Systems

Complex analysis and operator theory, 2007-05, Vol.1 (2), p.211-233

2007

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Lebesgue type decompositions for nonnegative forms

Journal of functional analysis, 2009-12, Vol.257 (12), p.3858-3894

2009

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Passive Systems with a Normal Main Operator and Quasi-selfadjoint Systems

Complex analysis and operator theory, 2009-03, Vol.3 (1), p.19-56

2009

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Operational calculus for rows, columns, and blocks of linear relations

Advances in operator theory, 2020-07, Vol.5 (3), p.1193-1228

2020

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Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces

Linear algebra and its applications, 2007-06, Vol.423 (2), p.456-497

2007

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Global and local behavior of zeros of nonpositive type

Journal of mathematical analysis and applications, 2014-06, Vol.414 (1), p.273-284

2014

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Non-semi-bounded closed symmetric forms associated with a generalized Friedrichs extension

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2014-08, Vol.144 (4), p.731-745

2014

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Truncated moment problems in the class of generalized Nevanlinna functions

Mathematische Nachrichten, 2012-10, Vol.285 (14-15), p.1741-1769

2012

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On Kreĭn's formula

Journal of mathematical analysis and applications, 2009-03, Vol.351 (2), p.567-578

2009

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Square-integrable solutions and Weyl functions for singular canonical systems

Mathematische Nachrichten, 2011-08, Vol.284 (11-12), p.1334-1384

2011

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Zeros of nonpositive type of generalized Nevanlinna functions with one negative square

Journal of mathematical analysis and applications, 2011-10, Vol.382 (1), p.399-417

2011

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Compressed Resolvents, Q-functions and h0-resolvents in Almost Pontryagin Spaces

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations, p.425-484

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Boundary Value Problems, Weyl Functions, and Differential Operators

Antitonicity of the inverse for selfadjoint matrices, operators, and relations

Limit‐point/limit‐circle classification for Hain–Lüst type equations

Boundary relations and their Weyl families

Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators

Extremal extensions for the sum of nonnegative selfadjoint relations

An index formula for the product of linear relations

The Krein formula in almost Pontryagin spaces. A proof via orthogonal coupling

Factorized sectorial relations, their maximal-sectorial extensions, and form sums

A GENERAL FACTORIZATION APPROACH TO THE EXTENSION THEORY OF NONNEGATIVE OPERATORS AND RELATIONS

Lebesgue type decompositions for linear relations and Ando’s uniqueness criterion

A class of Nevanlinna functions related to singular Sturm-Liouville problems

Sums, couplings, and completions of almost Pontryagin spaces

Parametrization of Contractive Block Operator Matrices and Passive Discrete-Time Systems

Lebesgue type decompositions for nonnegative forms

Passive Systems with a Normal Main Operator and Quasi-selfadjoint Systems

Operational calculus for rows, columns, and blocks of linear relations

Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces

Global and local behavior of zeros of nonpositive type

Non-semi-bounded closed symmetric forms associated with a generalized Friedrichs extension

Truncated moment problems in the class of generalized Nevanlinna functions

On Kreĭn's formula

Square-integrable solutions and Weyl functions for singular canonical systems

Zeros of nonpositive type of generalized Nevanlinna functions with one negative square

Compressed Resolvents, Q-functions and h0-resolvents in Almost Pontryagin Spaces

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