Keyword

root vectors

Description: Generalized eigenvectors associated with an operator’s eigenvalues, studied in spectral theory and used to represent solutions of operator equations.

Primary topic: Advanced Mathematical Theories and Applications (37%)

OpenAlex ID: keywords/root-vectors

Differential-Operator Equations: Ordinary and Partial Differential Equations

1999 · Sasun Yakubov, Yakov Yakubov · Medical Entomology and Zoology · 139

A Lie superalgebraic interpretation of the para-Bose statistics

1980 · A. Ch. Ganchev, T. D. Palev · Journal of Mathematical Physics · 121

Projective Hilbert space structures at exceptional points

2007 · Uwe Günther, Ingrid Rotter, et al. · Journal of Physics A Mathematical and Theoretical · 101

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Projective Hilbert space structures at exceptional points

2015 · Ingrid Rotter, Boris F Samsonov · 99

PBW Basis of Quantized Universal Enveloping Algebras

1994 · Yoshihisa Saito · Publications of the Research Institute for Mathematical Sciences · 87

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Spectral Analysis of a Dissipative Singular Schrödinger Operator in Terms of a Functional Model

1996 · B. S. Pavlov · Encyclopaedia of mathematical sciences · 57

On the Riesz basis property of root vectors system for 2 × 2 Dirac type operators

2016 · Anton A. Lunyov, Mark M. Malamud · Journal of Mathematical Analysis and Applications · 55

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A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions

2012 · Fritz Gesztesy, Vadim Tkachenko · Journal of Differential Equations · 54

Correct Discrete-Continual Finite Element Method of Structural Analysis Based on Precise Analytical Solutions of Resulting Multipoint Boundary Problems for Systems of Ordinary Differential Equations

2012 · Pavel A. Akimov · Applied Mechanics and Materials · 50

BRAID GROUP ACTION AND ROOT VECTORS FOR THE q-ONSAGER ALGEBRA

2020 · PASCAL BASEILHAC, STEFAN KOLB · Transformation Groups · 41

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On the basis property of root vectors of a perturbed self-adjoint operator

2010 · A. A. Shkalikov · Proceedings of the Steklov Institute of Mathematics · 41

Unconditional bases related to a nonclassical second-order differential operator

2010 · A. M. Sarsenbi · Differential Equations · 41

Spectral inequalities for non-selfadjoint elliptic operators and application to the null-controllability of parabolic systems

2009 · M. Léautaud · Journal of Functional Analysis · 41

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Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems

2001 · Trooshin Igor, yamamoto Masahiro · Applicable Analysis · 40

On series with respect to root vectors of operators associated with forms having symmetric principal part

1994 · M. S. Agranovich · Functional Analysis and Its Applications · 39

Spectral analysis of eigenparameter dependent boundary value transmission problems

2013 · Ekin Uğurlu, Elgiz Bairamov · Journal of Mathematical Analysis and Applications · 37

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Operator Interpretation of Resonances Arising in Spectral Problems for 2 × 2 Operator Matrices

1999 · Reinhard Mennicken, Alexander K. Motovilov · Mathematische Nachrichten · 37

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Spectral operators generated by damped hyperbolic equations

1997 · Marianna A. Shubov · Integral Equations and Operator Theory · 35

Quantum Divided Power Algebra, Q-Derivatives, and Some New Quantum Groups

2000 · Naihong Hu · Journal of Algebra · 33

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Riesz bases for p-subordinate perturbations of normal operators

2009 · Christian Wyss · Journal of Functional Analysis · 32

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The Hilbert Bound of a Certain Doubly-Infinite Matrix

1960 · C. K. Hill · Journal of the London Mathematical Society · 32

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Возмущения самосопряженных и нормальных операторов с дискретным спектром

2016 · Andrei Andreevich Shkalikov · Успехи математических наук · 31

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On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions

2008 · M. M. Malamud · Functional Analysis and Its Applications · 28

Correct Multilevel Discrete-Continual Finite Element Method of Structural Analysis

2014 · Pavel A. Akimov, Alexandr M. Belostosky, et al. · Advanced materials research · 24

Correct Method of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equations with Piecewise Constant Coefficients

2011 · Pavel A. Akimov, Vladimir N. Sidorov · Advanced materials research · 24

Works count: 2,065

Citation count: 2,443