منابع مشابه
Boundary Angular Derivatives of Generalized Schur Functions
Characterization of generalized Schur functions in terms of their Taylor coefficients was established by M. G. Krein and H. Langer in [14]. We establich a boundary analog of this characterization.
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Motivated by Schur-concavity, we introduce the notion of G-concavity where G is a closed subgroup of the orthogonal group O(V ) on a finite dimensional real inner product space V . The triple (V,G, F ) is an Eaton triple if F ⊂ V is a nonempty closed convex cone such that (A1) Gx ∩ F is nonempty for each x ∈ V . (A2) maxg∈G(x, gy) = (x, gy) for all x, y ∈ F . If W := spanF and H := {g|W : g ∈ G...
متن کاملGrassmannians, Nonlinear Wave Equations and Generalized Schur Functions
The solution space of the KP hierarchy of nonlinear evolution equations is known to have the geometric structure of an infinite dimensional Grassmannian manifold. This paper demonstrates this fact in an elementary way. Specifically, it is explained how one may use the recently introduced N-Schur functions to “translate” the nonlinear differential equations into the algebraic Plücker relations f...
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The nondegenerate Nevanlinna-Pick-Carathéodory-Fejer interpolation problem with finitely many interpolation conditions always has infinitely many solutions in a generalized Schur class Sκ for every κ ≥ κmin where the integer κmin equals the number of negative eigenvalues of the Pick matrix associated to the problem and completely determined by interpolation data. A linear fractional description...
متن کاملSchur Functions
Editorial comments. The Schur functions sλ are a special basis for the algebra of symmetric functions Λ. They are also intimately connected with representations of the symmetric and general linear groups. In what follows we will give two alternative definitions of these functions, show how they are related to other symmetric function bases, explicitly describe their connection with representati...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1975
ISSN: 0021-8693
DOI: 10.1016/0021-8693(75)90057-5