Titlebook: Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations; Daniel Alpay,Victor Vinnikov Book 2005 Birkh?user

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書目名稱Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations影響因子(影響力)學(xué)科排名




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圣人

Longitude

One-Sided Tangential Interpolation for Hilbert-Schmidt Operator Functions with Symmetries on the Bionsidered: (a) componentwise symmetries that operate separately on each component of a general point in the bidisk; (b) interchange symmetry that interchanges the two components of a general point in the bidisk. Applications are made to multipoint tangential interpolation problems of special form.

為現(xiàn)場

Functional Models for Representations of the Cuntz Algebra,pace up to unitary equivalence. As an illustration, we compute the weighting matrix for the free atomic representations studied by Davidson and Pitts and the related permutative representations studied by Bratteli and Jorgensen.

FRET

0255-0156 or theory, system theory, scattering theory, and the theory of analytic functions of one complex variable are deeply related topics, and the relationships between these theories are well understood. When one leaves the setting of one operator and considers several operators, the situation is much mo

Morsel

軍火

Functional Models for Representations of the Cuntz Algebra,le of operators on a Hilbert space. The model is determined by a weighting matrix (called a “Haplitz” matrix) which has both non-commutative Hankel and Toeplitz structure. Such positive-definite Haplitz matrices then serve to classify representations of the Cuntz algebra . with specified cyclic subs

filial

FILTH

,On the Bessmertny? Class of Homogeneous Positive Holomorphic Functions on a Product of Matrix Halfpmit representation as a Schur complement of a block of a linear homogeneous operator-valued function with positive semidefinite operator coefficients, to the case of a product of open right matrix halfplanes. Several equivalent characterizations of this generalized Bessmertny? class are presented. I

四目在模仿

Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functrticular, the isoprincipal deformations of generic rational matrix functions are proved to be isosemiresidual. The corresponding rational solutions of the Schlesinger system are constructed and the explicit expression for the related tau function is given. The main tool is the theory of joint system