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Band 72

Matrix and Operator Valued Functions The Vladimir Petrovich Potapov Memorial Volume

Aus der Reihe Operator Theory: Advances and Applications

49,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

29.10.2012

Abbildungen

XXVIII, 212 p.

Herausgeber

I. Gohberg + weitere

Verlag

Springer Basel

Seitenzahl

212

Maße (L/B/H)

24,4/17/1,4 cm

Gewicht

429 g

Auflage

Softcover reprint of the original 1st ed. 1994

Sprache

Englisch

ISBN

978-3-0348-9667-2

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

29.10.2012

Abbildungen

XXVIII, 212 p.

Herausgeber

Verlag

Springer Basel

Seitenzahl

212

Maße (L/B/H)

24,4/17/1,4 cm

Gewicht

429 g

Auflage

Softcover reprint of the original 1st ed. 1994

Sprache

Englisch

ISBN

978-3-0348-9667-2

Herstelleradresse

Springer Nature c/o IBS
Benzstrasse 21
48619 Heek
DE

Email: Tanja.Keller@springer.com

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  • Produktbild: Matrix and Operator Valued Functions
  • Produktbild: Matrix and Operator Valued Functions
  • The influence of V.P. Potapov and M.G. Krein on my scientific work.- 1. My first dissertation.- 2. A tilt toward operator theory.- 3. The results of Potapov’s group in network theory.- 4. Darlington method in the general theory of passive systems.- 5. Regular j-inner matrix functions and related generalized bitangential problems.- References.- The development of some of V.P. Potapov’s ideas. The geometric theory of operators in spaces with indefinite metric.- References.- On the Potapov theory of multiplicative representations.- References.- An operator approach to the Potapov scheme for the solution of interpolation problems.- I. Potapov’s method of solution of interpolation problems.- II. Operator identities and interpolation problems.- References.- Description of a class of functions which admit an approximation by rational functions with preassigned poles I.- 2. The class PCNM of pseudocontinuable functions.- 3. The Smirnov class N*.- 4. The weighted space PCH??(I+,I-) of pseudocontinuable meromorphic functions with prescribed denominators.- 5. G. Ts. Tumarkin’s theorem on functions which admit weighted approximation by a sequence of rational functions with preassigned poles.- 6. Formulation of the main approximation theorem.- 7. A fundamental approximation Lemma.- References.- An analysis and extension of V.P. Potapov’s approach to problems with applications to the generalized bi-tangential Schur-Nevanlinna-Pick problem and J-inner-outer factorization.- 1. Potapov’s approach to the Nevanlinna-Pick problem.- 2. An analysis of Potapov’s approach and the AIP.- 3. The abstract interpolation problem.- 4. The AIP and unitary extensions of an isometry.- 5. The generalized bi-tangential Schur-Nevanlinna-Pick (SNP) problem.- 6. Inner-outer factorization ofJ-contractive matrix-functions.- References.- On the theory of inverse problems for the canonical differential equation.- References.- Addendum.- Some properties of linear-fractional transformations and the harmonic mean of matrix functions.- References.- Modification of V.P. Potapov’s scheme in the indefinite case.- 0. Introduction.- 1. Preliminaries.- 2. Basic propositions.- 3. Extensions of the operator S.- 4. Examples.- References.- Inverse problems for equations systems.- 1. Introduction.- 2. Existence theorems.- 3. Classical examples.- 4. Uniqueness theorems.- References.