Some Krein spaces of analytic functions and an inverse scattering problem

DOI10.1307/mmj/1029003617zbMath0638.46018OpenAlexW2093034147MaRDI QIDQ1099370

Daniel Alpay

Publication date: 1987

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003617

zbMATH Keywords

contractionKrein spaceHermitian formsreproducing kernelnetwork theorylossless inverse scattering problem

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Scattering theory of linear operators (47A40)

Related Items (10)

Some remarks on reproducing kernel Krein spaces ⋮ A Harmonic Analysis of Directed Graphs from Arithmetic Functions and Primes ⋮ Dilatations des commutants d'opérateurs pour des espaces de Krein de fonctions analytiques. (Dilations of commutants of operators for Krein spaces of analytic functions) ⋮ Matrices induced by arithmetic functions acting on certain Krein spaces ⋮ Krein-space representations of arithmetic functions determined by primes ⋮ Asymptotic free probability for arithmetic functions and factorization of Dirichlet series ⋮ Some reproducing kernel spaces of continuous functions ⋮ On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm ⋮ A theorem on reproducing kernel Hilbert spaces of pairs ⋮ Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case

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