Titlebook: Operator Theory; Daniel Alpay,Irene Sabadini,Fabrizio Colombo Living reference work 20250th edition Multivariable operator theory.Superos

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Basics of Secrecy Coding, insights into key design parameters and features, such as minimal realizations, distance spectra, trapping sets, and efficient decoder structures, among others. A more recent thrust in error correction coding (linear or otherwise) is in secrecy systems, in the form of physical layer security that c

GLUT

Bergman Kernel in Complex Analysis,the focus of the research interest of the authors is presented. The topics discussed contain general discussion of . spaces, behavior of the Bergman distance, regularity of extension of proper holomorphic mappings, and recent development in the theory of Bergman distance stemming from the pluripoten

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,Boundary Triplets, Weyl Functions, and the Kreĭn Formula,reĭn spaces. The theory of generalized resolvents of such operators is exposed from the point of view of boundary triplets approach. Applications to different continuation problems related to the extension theory of Kreĭn space symmetric operators are discussed.

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Clifford Analysis for Higher Spin Operators,ical Dirac operator. These operators belong to a complete family of conformally invariant first-order differential operators, acting on functions taking their values in an irreducible representation for the spin group (the double cover for the orthogonal group). Their existence follows from a standa

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Commutative Dilation Theory,Hilbert space contraction has the uniquely determined minimal unitary dilation. In many situations this enables to study instead of a general contraction its unitary dilation, which has much nicer properties. The present paper gives a survey of dilation theory for commuting tuples of Hilbert space o

雪白

,Contractions and the Commutant Lifting Theorem in Kreĭn Spaces,em was initially considered, both in Sarason’s original form and that of the later generalization due to Sz.-Nagy and Foias. A discussion then follows of the connection with contraction operator matrix completion problems, as well as with the Sz.-Nagy and Andô dilation theorems. Recent work in abstr

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De Branges Spaces and Growth Aspects,together the notions of de Branges spaces on one hand and growth functions (proximate orders) on the other hand. After a few introductory words, the paper starts off with a short companion on de Branges theory (section “A Short Companion on Hilbert Spaces of Entire Functions”) where much of the term

CANDY

,de Branges Spaces and Krein’s Theory of Entire Operators,ions. Each of these theories played a central role in the research of both renown mathematicians. Remarkably, entire operators and de Branges spaces are intimately connected and the interplay between them has had an impact in both spectral theory and the theory of functions. This work exhibits the i

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,de Branges–Rovnyak Spaces and Norm-Constrained Interpolation,companion survey provides equivalent definitions and basic properties of these spaces as well as applications to function theory and operator theory. The present survey brings to the fore more recent applications to a variety of more elaborate function theory problems, including ..-norm constrained