Sold Out
Book Categories |
Editorial Introduction ix
Basic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions D. Alpay A. Dijksma H. Langer G. Wanjala
Introduction 1
Auxiliary statements 6
The basic interpolation problem at one boundary point 11
Multipoint boundary interpolation 17
J-unitary factorization 20
A factorization algorithm 23
References 27
Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse problems D. Alpay I. Gohberg
Introduction 31
Preliminaries 34
The characteristic spectral functions 34
Unitary solutions of the Nehari problem 40
Uniqueness theorem 41
Inverse scattering problem 44
Inverse scattering problem associated to the spectral factor 44
Inverse scattering problem associated to a Blaschke product 46
Other inverse problems 47
Inverse problem associated to the reflection coefficient function 48
Inverse problem associated to the Weyl coefficient function 50
Inverse spectral problem 51
Inverse problem associated to the asymptotic equivalence matrix function 53
The case of two-sided first-order systems 54
A numerical example 56
An example of a non-strictly pseudo-exponential sequence 58
Jacobi matrices 59
References 63
Boundary Nevanlinna-Pick Interpolation Problems for Generalized Schur Functions V. Bolotnikov A. Kheifets
Introduction 67
Main results 72
Some preliminaries 77
Fundamental Matrix Inequality 84
Parameters and interpolation conditions 90
Negative squares of the function w = T[subscript curly or open theta epsilon] 104
The degenerate case 109
An example 115
References 118
A Truncated Matricial Moment Problem on a Finite Interval A. Choque Rivero Y. Dyukarev B. Fritzsche B. Kirstein
Introduction and preliminaries 121
The moment problem 123
Main algebraic identities 128
From the moment problem to the system of fundamental matrix inequalities of Potapov-type 129
From the system of fundamental matrix inequalities to the moment problem 136
Nonnegative column pairs 143
Description of the solution set in the positive definite case 147
A necessary and sufficient condition for the existence of a solution of the moment problem 160
Appendix: Certain subclasses of holomorphic matrix-valued functions and a generalization of Stieltjes' inversion formula 161
Acknowledgement 170
References 170
Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions V.K. Dubovoy
Introduction 175
Shifts contained in contractions, unitary colligations and characteristic operator functions 178
Shifts contained in contractions and unitary colligations 178
Characteristic operator functions 182
Naimark dilations 182
Construction of a model of a unitary colligation via the Schur parameters of its c.o.f. in the scalar case 185
Schur algorithm, Schur parameters 185
General form of the model 186
Schur determinants and contractive operators. Computation of t[subscript n+1,n] 189
Schur determinants and contractive operators again. Computation of g[subscript n] 192
Description of the model of a unitary colligation if [characters not reproducible] converges 198
Description of the model of a unitary colligation in the case of divergence of the series [characters not reproducible] 202
Description of the model in the case that the function [theta] is a finite Blaschke product 203
Comments 204
A model representation of the maximal shift V[subscript T] contained in a contraction T 207
The conjugate canonical basis 207
A model representation of the maximal unilateral shift V[subscript T] contained in a contraction T 208
The connection of the maximal shifts V[subscript T] and V[subscript T*] with the pseudocontinuability of the corresponding c.o.f. [theta] 220
Pseudocontinuability of Schur functions 220
On some connections between the maximal shifts V[subscript T] and V[subscript T*] and the pseudocontinuability of the corresponding c.o.f. [theta] 222
Some criteria for the pseudocontinuability of a Schur function in terms of its Schur parameters 225
Construction of a countable closed vector system in [characters not reproducible] and investigation of the properties of the sequence [characters not reproducible] of Gram determinants of this system 225
Some criteria of pseudocontinuability of Schur functions 234
On some properties of the Schur parameter sequences of pseudocontinuable Schur functions 238
The structure of pure [Pi]-sequences of rank 0 or 1 244
Acknowledgement 248
References 248
The Matricial Caratheodory Problem in Both Nondegenerate and Degenerate Cases B. Fritzsche B. Kirstein A. Lasarow
Introduction 251
Preliminaries 253
On particular matrix polynomials 257
Description of the set [characters not reproducible] 263
Resolvent matrices which are constructed recursively 272
The nondegenerate case 279
The case of a unique solution 283
References 288
A Gohberg-Heinig type inversion formula involving Hankel operators G.J. Groenewald M.A. Kaashoek
Introduction 291
The indicator 293
The main theorem for kernel functions of stable exponential type 295
Proof of the main theorem (general case) 299
References 301
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish ListX
This item is in your CollectionInterpolation, Schur Functions and Moment Problems
X
This Item is in Your InventoryInterpolation, Schur Functions and Moment Problems
X
You must be logged in to review the productsX
X
X
Add Interpolation, Schur Functions and Moment Problems, Schur analysis originates with an 1917 article of Schur where he associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal proc, Interpolation, Schur Functions and Moment Problems to the inventory that you are selling on WonderClubX
X
Add Interpolation, Schur Functions and Moment Problems, Schur analysis originates with an 1917 article of Schur where he associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal proc, Interpolation, Schur Functions and Moment Problems to your collection on WonderClub |