Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : sans médiation
Auteur(s) : Arov, Damir Z.
Dym, Harry (1938-....)
Titre(s) : Bitangential direct and inverse problems for systems of integral and differential equations [Texte imprimé] / Damir Z. Arov, Harry Dym
Publication : Cambridge : Cambridge university press, 2012
Description matérielle : 1 vol. (XIV-472 p.) ; 24 cm
Collection : Encyclopedia of mathematics and its applications ; 145
Lien à la collection : Encyclopedia of mathematics and its applications
Comprend : Introduction ; Canonical systems and related differential equations ; Matrix-valued
functions in the Nevanlinna class ; Interpolation problems, resolvent matrices and
de Branges spaces ; Chains that are matrizants and chains of associated pairs ;
The bitangential direct input scattering problems ; Bitangential direct input impedance
and spectral problems ; Inverse monodromy problems ; Bitangential Krein extension
problems ; Bitangential inverse input scattering problems ; Bitangential inverse
input impedance and spectral problems ; Direct and inverse problems for Dirac-Krein
systems.
Note(s) : Bibliogr. p. 450-464
"This largely self-contained treatment surveys, unites and extends some 20 years of
research on direct and inverse problems for canonical systems of integral and differential
equations and related systems. Five basic inverse problems are studied in which the
main part of the given data is either a monodromy matrix; an input scattering matrix;
an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering
matrix. The corresponding direct problems are also treated. The book incorporates
introductions to the theory of matrix valued entire functions, reproducing kernel
Hilbert spaces of vector valued entire functions (with special attention to two important
spaces introduced by L. de Branges), the theory of J-inner matrix valued functions
and their application to bitangential interpolation and extension problems, which
can be used independently for courses and seminars in analysis or for self-study.
A number of examples are presented to illustrate the theory"-- ; "This largely self-contained
treatment surveys, unites and extends some 20 years of research on direct and inverse
problems for canonical systems of integral and differential equations and related
systems. Five basic inverse problems are studied in which the main part of the given
data is either a monodromy matrix, an input scattering matrix, an input impedance
matrix, a matrix-valued spectral function, or an asymptotic scattering matrix. The
corresponding direct problems are also treated. The book incorporates introductions
to the theory of matrix-valued entire functions, reproducing kernel Hilbert spaces
of vector-valued entire functions (with special attention to two important spaces
introduced by L. de Branges), the theory of J-inner matrix-valued functions and their
application to bitangential interpolation and extension problems, which can be used
independently for courses and seminars in analysis or for self-study. A number of
examples are presented to illustrate the theory"--
Sujet(s) : Équations intégrales
Problèmes inverses (équations différentielles)
Indice(s) Dewey :
515.45 (23e éd.) = Équations intégrales
Identifiants, prix et caractéristiques : ISBN 9781107018877. - ISBN 1107018870 (rel.)
Identifiant de la notice : ark:/12148/cb427628137
Notice n° :
FRBNF42762813
(notice reprise d'un réservoir extérieur)
