scholarly journals On Asymptotically Orthonormal Sequences

2017 ◽  
Vol 69 (6) ◽  
pp. 1312-1337 ◽  
Author(s):  
Emmanuel Fricain ◽  
Rishika Rupam
Keyword(s):  
Reproducing Kernels ◽  
Parseval Equality ◽  
Orthonormal Sequence ◽  
Model Spaces

AbstractAn asymptotically orthonormal sequence is a sequence that is nearly orthonormal in the sense that it satisfies the Parseval equality up to two constants close to one. In this paper, we explore such sequences formed by normalized reproducing kernels for model spaces and de Branges– Rovnyak spaces.

scholarly journals Geometry of reproducing kernels in model spaces near the boundary

2017 ◽  
Vol 447 (2) ◽  
pp. 971-987
Author(s):  
A. Baranov ◽  
A. Hartmann ◽  
K. Kellay
Keyword(s):  
Reproducing Kernels ◽  
Model Spaces

Overcompleteness of Sequences of Reproducing Kernels in Model Spaces

2005 ◽  
Vol 56 (1) ◽  
pp. 45-56 ◽  
Author(s):  
I. Chalendar ◽  
E. Fricain ◽  
J. R. Partington
Keyword(s):  
Reproducing Kernels ◽  
Model Spaces

scholarly journals Multi-orbital Frames Through Model Spaces

2021 ◽  
Vol 15 (1) ◽  
Author(s):  
Carlos Cabrelli ◽  
Ursula Molter ◽  
Daniel Suárez
Keyword(s):  
Model Spaces

Microstructure-Based Simulation of the Dielectric Properties of Polymer-Ceramic Composites for Capacitor Applications

2006 ◽  
Vol 949 ◽  
Author(s):  
Jeffrey P. Calame
Keyword(s):  
Electric Field ◽  
Polymer Matrix ◽  
Matrix Material ◽  
Realistic Model ◽  
Ceramic Composites ◽  
Internal Electric Field ◽  
Large Particles ◽  
Different Types ◽  
Model Spaces ◽  
Electrostatic Modeling

ABSTRACTResearch on the microstructure-based modeling of composite dielectrics for capacitor applications is described. Methods for predicting the composite dielectric permittivity and internal electric field distributions within the microstructure using finite difference quasi-electrostatic modeling are described, along with methods of generating realistic model spaces of particulate microstructures. An existing algorithm for generating random, monosized spheres-in-a-dielectric matrix model spaces is modified to allow the treatment of bimodal composites in which small particles are deliberately segregated into the spaces between large particles. Such composites can have substantially higher total volumetric filling fractions of particles, leading to higher composite permittivity. The variations in permittivity with the filling fractions of bimodal inclusions are studied with the new model, with cases covering three different types of polymer matrix material. The effect of the small particle additions on the electric field statistics within the polymer matrix is also explored.

scholarly journals Universalities of reproducing kernels revisited

2015 ◽  
Vol 95 (8) ◽  
pp. 1776-1791 ◽  
Author(s):  
Wenjian Chen ◽  
Benxun Wang ◽  
Haizhang Zhang
Keyword(s):  
Reproducing Kernels

scholarly journals Volterra Type Integral Operators and Composition Operators on Model Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Tesfa Mengestie
Keyword(s):  
Composition Operators ◽  
Integral Operators ◽  
Volterra Type ◽  
Open Problems ◽  
Type Integral ◽  
Model Spaces

We study some mapping properties of Volterra type integral operators and composition operators on model spaces. We also discuss and give out a couple of interesting open problems in model spaces where any possible solution of the problems can be used to study a number of other operator theoretic related problems in the spaces.

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