Root functions, eigenvectors, associated vectors and the inverse of a holomorphic operator function

Reinhard Mennicken; Manfred M�ller

doi:10.1007/bf01190696

Root functions, eigenvectors, associated vectors and the inverse of a holomorphic operator function

Archiv der Mathematik ◽

10.1007/bf01190696 ◽

1984 ◽

Vol 42 (5) ◽

pp. 455-463 ◽

Cited By ~ 13

Author(s):

Reinhard Mennicken ◽

Manfred M�ller

Keyword(s):

Operator Function ◽

Root Functions ◽

Holomorphic Operator ◽

Holomorphic Operator Function

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Basis property of a part of the system of Eigenvectors of a holomorphic operator-function

Mathematical Notes ◽

10.1007/bf01156615 ◽

1991 ◽

Vol 50 (1) ◽

pp. 755-757

Author(s):

V. A. Grinshtein

Keyword(s):

Operator Function ◽

Basis Property ◽

Holomorphic Operator ◽

Holomorphic Operator Function

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A Holomorphic Operator Function Approach for the Laplace Eigenvalue Problem Using Discontinuous Galerkin Method

CSIAM Transactions on Applied Mathematics ◽

10.4208/csiam-am.so-2021-0012 ◽

2021 ◽

Vol 2 (4) ◽

pp. 776-792

Author(s):

Yingxia Xi & Xia Ji

Keyword(s):

Eigenvalue Problem ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Operator Function ◽

Function Approach ◽

Holomorphic Operator ◽

Laplace Eigenvalue ◽

Holomorphic Operator Function

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Some criteria for the existence of divisors of a holomorphic operator function

Functional Analysis and Its Applications ◽

10.1007/bf01076374 ◽

1984 ◽

Vol 18 (1) ◽

pp. 75-77 ◽

Cited By ~ 2

Author(s):

D. I. Taragan

Keyword(s):

Operator Function ◽

Holomorphic Operator ◽

Holomorphic Operator Function

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On holomorphic operator function equations

Integral Equations and Operator Theory ◽

10.1007/bf01682735 ◽

1979 ◽

Vol 2 (2) ◽

pp. 244-263 ◽

Cited By ~ 8

Author(s):

Winfried Kaballo ◽

G. Philip ◽

A. Thijsse

Keyword(s):

Operator Function ◽

Holomorphic Operator ◽

Holomorphic Operator Function

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Application of the Augmented Operator Function Model for Developing Cognitive Metrics in Persistent Surveillance

10.21236/ada595397 ◽

2013 ◽

Author(s):

Tiffany M. Paul ◽

Mary Fendley ◽

Soloman Gibbs

Keyword(s):

Operator Function ◽

Function Model

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Integral representations of irregular root functions of loaded second-order differential operators

Differential Equations ◽

10.1134/s0012266116120041 ◽

2016 ◽

Vol 52 (12) ◽

pp. 1563-1574 ◽

Cited By ~ 4

Author(s):

I. S. Lomov

Keyword(s):

Differential Operators ◽

Second Order ◽

Integral Representations ◽

Root Functions

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A Discrete Control Model of Operator Function: A Methodology for Information Display Design

IEEE Transactions on Systems Man and Cybernetics ◽

10.1109/tsmc.1986.4308966 ◽

1986 ◽

Vol 16 (3) ◽

pp. 343-357 ◽

Cited By ~ 85

Author(s):

Christine M. Mitchell ◽

R. A. Miller

Keyword(s):

Operator Function ◽

Control Model ◽

Discrete Control ◽

Display Design ◽

Information Display

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On the Bari basis properties of the root functions of non-self adjoint q-Sturm-Liouville problems

Uzbek Mathematical Journal ◽

10.29229/uzmj.2020-4-2 ◽

2020 ◽

Keyword(s):

Root Functions ◽

Sturm Liouville ◽

Bari Basis

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Operator Function Method in the Problem of Normal Waves in an Inhomogeneous Waveguide

Differential Equations ◽

10.1134/s0012266118090057 ◽

2018 ◽

Vol 54 (9) ◽

pp. 1168-1179 ◽

Cited By ~ 7

Author(s):

Yu. G. Smirnov ◽

E. Yu. Smol’kin

Keyword(s):

Function Method ◽

Operator Function ◽

Inhomogeneous Waveguide ◽

Normal Waves

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Basis Properties of the System of Root Functions of the Sturm–Liouville Operator with Degenerate Boundary Conditions: I

Differential Equations ◽

10.1134/s0012266118100051 ◽

2018 ◽

Vol 54 (10) ◽

pp. 1338-1353 ◽

Cited By ~ 1

Author(s):

A. S. Makin

Keyword(s):

Boundary Conditions ◽

Liouville Operator ◽

Root Functions ◽

Sturm Liouville ◽

System Of Root Functions

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