On the adjoint of a symmetric operator [PDF]
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S. +47 more
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Operator identities for standard weighted Bergman shift and Toeplitz operators [PDF]
We prove an operator identity for the shift operator in the scale of standard weighted Bergman spaces in the unit disc. This operator identity is then applied in the context of functional calculus for the shift operator and a characterization of harmonic
Olofsson, Anders +3 more
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Gate level optimisation of primitive operator digital filters using a carry save decomposition [PDF]
This paper introduces a method for optimising digital filter realisations at the gate level. The method is based on a derivative of the primitive operator approach of Bull and Horrocks which is extended using a carry-save decomposition of the primitive ...
Bull, DR, Wacey, G
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A natural space of functions for the Ruelle operator theorem [PDF]
We study a new space, $R(X)$, of real-valued continuous functions on the space $X$ of sequences of zeros and ones. We show exactly when the Ruelle operator theorem holds for such functions.
Walters, Peter
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Operator logarithms and exponentials [PDF]
Since Mclntosh's introduction of the ∞-calculus for sectorial operators, the topic has been studied by many authors. Haase has constructed a similar functional calculus for strip-type operators, and has also developed an abstract framework which unifies ...
Clark, Stephen
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Théorèmes de bornage pour l'opérateur de Nemytskij dans les espaces idéaux
Théorèmes de bornage pour l´opérateur de Nemytskij dans les espaces idéaux / J. Appell ; E. DePascale. - In: Canadian journal of mathematics. 38. 1986. S.
Jürgen Appell +3 more
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Completely contractive representations of some doubly generated antisymmetric operator algebras. [PDF]
Contractive weak star continuous representations of the Fourier binest algebra (of Katavolos and Power) are shown to be completely contractive. The proof depends on the approximation of by semicrossed product algebras and on the complete contractivity of
Power, Stephen C.
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Upper Bounds for the Euclidean Operator Radius and Applications [PDF]
The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n−tuple of bounded linear operators on a Hilbert space.
Dragomir, Sever S
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An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\)
The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions
Ularu, Nicoleta, Breaz, Nicoleta
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Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior
This article gives an introduction and short overview on generalized Nevanlinna functions, with special focus on asymptotic behavior and its relation to the operator representation.
Annemarie Luger, Luger, Annemarie,
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