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Interpolation Theory and Shell Problems
"... The shell problem and its asymptotic are investigated. A connection between the asymptotic behavior of the shell energy and real Interpolation Theory is established. Although only the Koiter shells have been considered, the same procedure can be used for other models, such as Naghdi's one, for ..."
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The shell problem and its asymptotic are investigated. A connection between the asymptotic behavior of the shell energy and real Interpolation Theory is established. Although only the Koiter shells have been considered, the same procedure can be used for other models, such as Naghdi's one
Extremal problems of interpolation theory
 Rocky Mountain J. Math
"... ABSTRACT. We consider problems where one seeks m × m matrix valued H ∞ functions w(ξ) which satisfy interpolation constraints and a bound (0.1) w * (ξ)w(ξ) ≤ ρ 2 min , ξ < 1, where the m×m positive semidefinite matrix ρ min is minimal (no smaller than) any other matrix ρ producing such a boun ..."
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Cited by 4 (2 self)
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ABSTRACT. We consider problems where one seeks m × m matrix valued H ∞ functions w(ξ) which satisfy interpolation constraints and a bound (0.1) w * (ξ)w(ξ) ≤ ρ 2 min , ξ < 1, where the m×m positive semidefinite matrix ρ min is minimal (no smaller than) any other matrix ρ producing such a
An extremal problem in interpolation theory
 Houston J. Math
"... Abstract. If z1, z2,..., zn are complex numbers in the open unit disk D and A1, A2,..., An are N ×N matrices, let F denote the family of analytic functions, bounded in D, such that for each F ∈ F, F (zk) = Ak, k = 1, 2,..., n. We consider ρ = infF∈F supz∈D F (z)sp where  · sp denotes the spect ..."
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Cited by 1 (0 self)
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Abstract. If z1, z2,..., zn are complex numbers in the open unit disk D and A1, A2,..., An are N ×N matrices, let F denote the family of analytic functions, bounded in D, such that for each F ∈ F, F (zk) = Ak, k = 1, 2,..., n. We consider ρ = infF∈F supz∈D F (z)sp where  · sp denotes the spectral radius. H. Bercovici has raised the question whether this infimum is attained. We will show that the answer is affirmative for N ≤ 3, and we point out at the obstructions to generalize this result to the case N> 3. 1.
Topics in Polynomial Interpolation Theory
, 2011
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reproduced or transmitted, in any form or by any means, without permission.
Embedding functions and their role in interpolation theory
 Abstr. Appl. Anal
, 1996
"... Abstract. The embedding functions of an intermediate space A into a Banach couple (A0, A1) are defined as its embedding constants into the couples ..."
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Cited by 2 (1 self)
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Abstract. The embedding functions of an intermediate space A into a Banach couple (A0, A1) are defined as its embedding constants into the couples
AN INTERPOLATION THEORY APPROACH TO SHELL EIGENVALUE PROBLEMS
, 2006
"... The asymptotic behaviour of the smallest eigenvalue in linear shell problems is studied, as the thickness parameter tends to zero. In order to cover the widest range of midsurface geometry and boundary conditions, an abstract approach has been followed, and the Real Interpolation Theory has been u ..."
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Cited by 2 (1 self)
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The asymptotic behaviour of the smallest eigenvalue in linear shell problems is studied, as the thickness parameter tends to zero. In order to cover the widest range of midsurface geometry and boundary conditions, an abstract approach has been followed, and the Real Interpolation Theory has been
Higherdimensional NevanlinnaPick interpolation theory
 J. Operator Theory
"... Abstract. We compute completely isometric representations of quotients of the operator algebra Sd generated by the dshift introduced by Arveson. This gives rise to a higher dimensional generalization of NevanlinnaPick interpolation theory. Quotients of Sd of dimension r admit a completely isometri ..."
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Cited by 1 (0 self)
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Abstract. We compute completely isometric representations of quotients of the operator algebra Sd generated by the dshift introduced by Arveson. This gives rise to a higher dimensional generalization of NevanlinnaPick interpolation theory. Quotients of Sd of dimension r admit a completely
Multimodality Image Registration by Maximization of Mutual Information
 IEEE TRANSACTIONS ON MEDICAL IMAGING
, 1997
"... A new approach to the problem of multimodality medical image registration is proposed, using a basic concept from information theory, mutual information (MI), or relative entropy, as a new matching criterion. The method presented in this paper applies MI to measure the statistical dependence or in ..."
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Cited by 791 (10 self)
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A new approach to the problem of multimodality medical image registration is proposed, using a basic concept from information theory, mutual information (MI), or relative entropy, as a new matching criterion. The method presented in this paper applies MI to measure the statistical dependence
Results 1  10
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2,192